Marion, Claude; Silva, Pedro V.; Tracey, Gareth The pro-supersolvable topology on a free group: deciding denseness. (English) Zbl 07818595 J. Algebra 646, 183-204 (2024). Reviewer: Egle Bettio (Venezia) MSC: 20E05 20E10 20F10 20F16 PDFBibTeX XMLCite \textit{C. Marion} et al., J. Algebra 646, 183--204 (2024; Zbl 07818595) Full Text: DOI arXiv
Podlogar, Gregor Periodic automorphisms of free groups are diagonalisable in free skew fields. (English) Zbl 07804807 J. Algebra 644, 563-579 (2024). MSC: 08A35 20E05 16K40 PDFBibTeX XMLCite \textit{G. Podlogar}, J. Algebra 644, 563--579 (2024; Zbl 07804807) Full Text: DOI arXiv
Kolodner, Noam M. D. Classes of free group extensions. (English) Zbl 07783383 J. Algebra 640, 477-490 (2024). Reviewer: Egle Bettio (Venezia) MSC: 20E05 20E07 05C25 20E22 PDFBibTeX XMLCite \textit{N. M. D. Kolodner}, J. Algebra 640, 477--490 (2024; Zbl 07783383) Full Text: DOI arXiv
Fernós, Talia Le Conte de la Mesure sur les Complexes Cubiques CAT(0). arXiv:2403.16360 Preprint, arXiv:2403.16360 [math.GR] (2024). MSC: 20F65 20E05 60B05 05C12 05E18 06A07 20F29 BibTeX Cite \textit{T. Fernós}, ``Le Conte de la Mesure sur les Complexes Cubiques CAT(0)'', Preprint, arXiv:2403.16360 [math.GR] (2024) Full Text: arXiv OA License
Delgado, Jordi; Ventura, Enric Stallings automata. arXiv:2403.10757 Preprint, arXiv:2403.10757 [math.GR] (2024). MSC: 20E05 BibTeX Cite \textit{J. Delgado} and \textit{E. Ventura}, ``Stallings automata'', Preprint, arXiv:2403.10757 [math.GR] (2024) Full Text: arXiv OA License
Orzechowski, Kamil The Banach-Tarski paradox for some subsets of finite-dimensional normed spaces over non-Archimedean valued fields. arXiv:2402.14772 Preprint, arXiv:2402.14772 [math.FA] (2024). MSC: 47S10 46S10 12J25 26E30 20E05 20H20 46B04 05A18 03E25 BibTeX Cite \textit{K. Orzechowski}, ``The Banach-Tarski paradox for some subsets of finite-dimensional normed spaces over non-Archimedean valued fields'', Preprint, arXiv:2402.14772 [math.FA] (2024) Full Text: arXiv OA License
Handel, Michael; Mosher, Lee Hyperbolic actions and 2nd bounded cohomology of subgroups of \({\mathsf{Out}}(F_n)\). (English) Zbl 07807556 Memoirs of the American Mathematical Society 1454. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-6698-5/pbk; 978-1-4704-7699-1/ebook). v, 170 p. (2023). Reviewer: Egle Bettio (Venezia) MSC: 20F65 20E05 20E36 PDFBibTeX XMLCite \textit{M. Handel} and \textit{L. Mosher}, Hyperbolic actions and 2nd bounded cohomology of subgroups of \({\mathsf{Out}}(F_n)\). Providence, RI: American Mathematical Society (AMS) (2023; Zbl 07807556) Full Text: DOI arXiv
Kim, Inkang Unmarked trace spectrum rigidity on strictly convex real projective surfaces. (English) Zbl 07799887 Expo. Math. 41, No. 4, Article ID 125520, 12 p. (2023). MSC: 32G15 22F30 20E05 PDFBibTeX XMLCite \textit{I. Kim}, Expo. Math. 41, No. 4, Article ID 125520, 12 p. (2023; Zbl 07799887) Full Text: DOI
Himes, Zachary; Miller, Jeremy; Nariman, Sam; Putman, Andrew The free factor complex and the dualizing module for the automorphism group of a free group. (English) Zbl 07794987 Int. Math. Res. Not. 2023, No. 22, 19020-19068 (2023). Reviewer: Egle Bettio (Venezia) MSC: 20E05 20J05 55U30 57M07 PDFBibTeX XMLCite \textit{Z. Himes} et al., Int. Math. Res. Not. 2023, No. 22, 19020--19068 (2023; Zbl 07794987) Full Text: DOI arXiv
Kawazumi, Nariya; Vespa, Christine On the wheeled PROP of stable cohomology of \(\mathrm{Aut}(F_n)\) with bivariant coefficients. (English) Zbl 07786958 Algebr. Geom. Topol. 23, No. 7, 3089-3128 (2023). Reviewer: Egle Bettio (Venezia) MSC: 20F28 18M85 20J06 20E05 PDFBibTeX XMLCite \textit{N. Kawazumi} and \textit{C. Vespa}, Algebr. Geom. Topol. 23, No. 7, 3089--3128 (2023; Zbl 07786958) Full Text: DOI arXiv
Popov, Vladimir L. Faithful actions of automorphism groups of free groups on algebraic varieties. (English) Zbl 07773337 Transform. Groups 28, No. 3, 1277-1297 (2023). Reviewer: Alexander Ivanovich Budkin (Barnaul) MSC: 14L30 14E05 20F36 20F28 20E05 PDFBibTeX XMLCite \textit{V. L. Popov}, Transform. Groups 28, No. 3, 1277--1297 (2023; Zbl 07773337) Full Text: DOI arXiv
Danh, Le Qui; Deo, Trinh Thanh A note on subnormal subgroups in division rings containing solvable subgroups. (English) Zbl 07764669 Bull. Aust. Math. Soc. 108, No. 3, 422-427 (2023). Reviewer: Adam Chapman (Tel Hai) MSC: 16K20 16S85 16S36 20E05 PDFBibTeX XMLCite \textit{L. Q. Danh} and \textit{T. T. Deo}, Bull. Aust. Math. Soc. 108, No. 3, 422--427 (2023; Zbl 07764669) Full Text: DOI
Lazarovich, Nir; Levit, Arie Virtually free groups are stable in permutations. (English) Zbl 07761473 Groups Geom. Dyn. 17, No. 4, 1417-1434 (2023). Reviewer: Valeriy Bardakov (Novosibirsk) MSC: 20E05 20E08 PDFBibTeX XMLCite \textit{N. Lazarovich} and \textit{A. Levit}, Groups Geom. Dyn. 17, No. 4, 1417--1434 (2023; Zbl 07761473) Full Text: DOI arXiv
Chinyere, Ihechukwu; Williams, Gerald Redundant relators in cyclic presentations of groups. (English) Zbl 1526.20048 J. Group Theory 26, No. 6, 1095-1126 (2023). Reviewer: Egle Bettio (Venezia) MSC: 20F05 20F06 20E05 PDFBibTeX XMLCite \textit{I. Chinyere} and \textit{G. Williams}, J. Group Theory 26, No. 6, 1095--1126 (2023; Zbl 1526.20048) Full Text: DOI arXiv OA License
Ascari, Dario Ideals of equations for elements in a free group and context-free languages. (English) Zbl 1525.20039 J. Algebra 636, 888-926 (2023). MSC: 20F70 20E05 20F10 20E07 PDFBibTeX XMLCite \textit{D. Ascari}, J. Algebra 636, 888--926 (2023; Zbl 1525.20039) Full Text: DOI arXiv
Gao, Xing; Guo, Li; Liu, Yanjun; Zhu, Zhi-Cheng Operated groups, differential groups and Rota-Baxter groups with an emphasis on the free objects. (English) Zbl 07747595 Commun. Algebra 51, No. 11, 4481-4500 (2023). Reviewer: Egle Bettio (Venezia) MSC: 20F28 05E16 17B38 20E05 20F40 PDFBibTeX XMLCite \textit{X. Gao} et al., Commun. Algebra 51, No. 11, 4481--4500 (2023; Zbl 07747595) Full Text: DOI arXiv
Guerch, Yassine Polynomial growth and subgroups of \(\mathrm{Out}(F_N)\). (Croissance Polynomiale et sous-groupes de \(\mathrm{Out}(F_N)\).) (English. French summary) Zbl 1523.20039 Ann. Henri Lebesgue 6, 595-625 (2023). Reviewer: Egle Bettio (Venezia) MSC: 20E05 20E08 20E36 20F65 20F28 PDFBibTeX XMLCite \textit{Y. Guerch}, Ann. Henri Lebesgue 6, 595--625 (2023; Zbl 1523.20039) Full Text: DOI arXiv
Lichman, Mateusz; Pawlikowski, Michał; Smolarek, Szymon; Swaczyna, Jarosław Free group of Hamel functions. (English) Zbl 1522.20092 Balcerzak, Marek (ed.) et al., Inspirations in real analysis. Selected papers based on the presentations at the international conference, Będlewo, Poland, April 3–8, 2022. Warsaw: Polish Academy of Sciences, Institute of Mathematics. Banach Cent. Publ. 125, 91-98 (2023). MSC: 20E05 54C40 26A21 PDFBibTeX XMLCite \textit{M. Lichman} et al., Banach Cent. Publ. 125, 91--98 (2023; Zbl 1522.20092) Full Text: DOI arXiv
White, Jared T. On the Dales-Żelazko conjecture for Beurling algebras on discrete groups. (English) Zbl 07738141 Proc. Edinb. Math. Soc., II. Ser. 66, No. 3, 613-624 (2023). MSC: 43A20 46H10 20E05 20E08 20F16 PDFBibTeX XMLCite \textit{J. T. White}, Proc. Edinb. Math. Soc., II. Ser. 66, No. 3, 613--624 (2023; Zbl 07738141) Full Text: DOI arXiv
Perrin, Dominique; Reutenauer, Christophe The palindromization map. (English) Zbl 07737620 Discrete Appl. Math. 340, 202-214 (2023). Reviewer: Francesco Dolce (Praha) MSC: 68R15 20E05 68Q45 PDFBibTeX XMLCite \textit{D. Perrin} and \textit{C. Reutenauer}, Discrete Appl. Math. 340, 202--214 (2023; Zbl 07737620) Full Text: DOI arXiv
Khukhro, Ana A characterisation of virtually free groups via minor exclusion. (English) Zbl 1521.20052 Int. Math. Res. Not. 2023, No. 15, 12967-12976 (2023). Reviewer: Enrico Jabara (Venezia) MSC: 20E05 20F65 05C25 PDFBibTeX XMLCite \textit{A. Khukhro}, Int. Math. Res. Not. 2023, No. 15, 12967--12976 (2023; Zbl 1521.20052) Full Text: DOI arXiv
Guerch, Yassine North-south type dynamics of relative atoroidal automorphisms of free groups on a relative space of currents. (English) Zbl 1523.20038 Conform. Geom. Dyn. 27, 161-263 (2023). Reviewer: Igor Subbotin (Los Angeles) MSC: 20E05 20E08 20E36 20F65 20F28 37D40 PDFBibTeX XMLCite \textit{Y. Guerch}, Conform. Geom. Dyn. 27, 161--263 (2023; Zbl 1523.20038) Full Text: DOI arXiv
Lei, Jialin; Zhang, Qiang Explicit bounds for fixed subgroups of endomorphisms of free products. (English) Zbl 1521.20061 J. Algebra 633, 773-787 (2023). Reviewer: Egle Bettio (Venezia) MSC: 20E36 20E05 20E06 20F65 20F34 57M07 PDFBibTeX XMLCite \textit{J. Lei} and \textit{Q. Zhang}, J. Algebra 633, 773--787 (2023; Zbl 1521.20061) Full Text: DOI arXiv
Lyman, Rylee Alanza Some new CAT(0) free-by-cyclic groups. (English) Zbl 1526.20062 Mich. Math. J. 73, No. 3, 621-630 (2023). Reviewer: Alexander Felshtyn (Szczecin) MSC: 20F65 20E05 20E08 57M07 PDFBibTeX XMLCite \textit{R. A. Lyman}, Mich. Math. J. 73, No. 3, 621--630 (2023; Zbl 1526.20062) Full Text: DOI arXiv
Carvalho, André On endomorphisms of the direct product of two free groups. (English) Zbl 1520.20055 J. Group Theory 26, No. 4, 693-724 (2023). Reviewer: Cindy Tsang (Tokyo) MSC: 20E05 20E36 PDFBibTeX XMLCite \textit{A. Carvalho}, J. Group Theory 26, No. 4, 693--724 (2023; Zbl 1520.20055) Full Text: DOI arXiv
Lyman, Rylee Alanza On Whitehead’s cut vertex lemma. (English) Zbl 1522.20093 J. Group Theory 26, No. 4, 665-675 (2023). Reviewer: Egle Bettio (Venezia) MSC: 20E05 20F34 05C25 20E08 20E45 PDFBibTeX XMLCite \textit{R. A. Lyman}, J. Group Theory 26, No. 4, 665--675 (2023; Zbl 1522.20093) Full Text: DOI arXiv
Gonçalves, Jairo Z. Free symmetric pairs in the field of fractions of enveloping Lie algebras with involution. (English) Zbl 07705123 J. Algebra Appl. 22, No. 7, Article ID 2350145, 13 p. (2023). Reviewer: Wen-Fong Ke (Tainan) MSC: 16K40 20E05 12E15 PDFBibTeX XMLCite \textit{J. Z. Gonçalves}, J. Algebra Appl. 22, No. 7, Article ID 2350145, 13 p. (2023; Zbl 07705123) Full Text: DOI
Gadgil, Siddhartha; Krishnapur, Manjunath Random words in free groups, non-crossing matchings and RNA secondary structures. (English) Zbl 1519.92159 Indian J. Pure Appl. Math. 54, No. 1, 146-158 (2023). MSC: 92D20 20E05 PDFBibTeX XMLCite \textit{S. Gadgil} and \textit{M. Krishnapur}, Indian J. Pure Appl. Math. 54, No. 1, 146--158 (2023; Zbl 1519.92159) Full Text: DOI arXiv
Ban, Jung-Chao; Chang, Chih-Hung; Wu, Yu-Liang Decidability of CPC-irreducibility of subshifts of finite type over free groups. (English) Zbl 1521.37018 Semigroup Forum 106, No. 3, 527-542 (2023). MSC: 37B51 20M05 20E05 68R10 68Q25 11Y16 PDFBibTeX XMLCite \textit{J.-C. Ban} et al., Semigroup Forum 106, No. 3, 527--542 (2023; Zbl 1521.37018) Full Text: DOI
Bestvina, Mladen; Feighn, Mark; Handel, Michael A McCool Whitehead type theorem for finitely generated subgroups of \(\operatorname{Out}(F_n)\). (Un théorème du type McCool Whitehead pour les sous-groupes de type fini de \(\operatorname{Out}(F_n)\).) (English. French summary) Zbl 1522.20164 Ann. Henri Lebesgue 6, 65-94 (2023). Reviewer: Laurent Bartholdi (Göttingen) MSC: 20F65 20F05 20E05 20F28 PDFBibTeX XMLCite \textit{M. Bestvina} et al., Ann. Henri Lebesgue 6, 65--94 (2023; Zbl 1522.20164) Full Text: DOI arXiv
Popov, V. L. Embeddings of automorphism groups of free groups into automorphism groups of affine algebraic varieties. (English. Russian original) Zbl 1516.20063 Proc. Steklov Inst. Math. 320, 267-277 (2023); translation from Tr. Mat. Inst. Steklova 320, 287-297 (2023). Reviewer: Enrico Jabara (Venezia) MSC: 20E36 14R20 20E05 PDFBibTeX XMLCite \textit{V. L. Popov}, Proc. Steklov Inst. Math. 320, 267--277 (2023; Zbl 1516.20063); translation from Tr. Mat. Inst. Steklova 320, 287--297 (2023) Full Text: DOI arXiv
Hanany, Liam; Puder, Doron Word measures on symmetric groups. (English) Zbl 1522.20016 Int. Math. Res. Not. 2023, No. 11, 9221-9297 (2023). Reviewer: Mihály Szalay (Budapest) MSC: 20B30 20E05 20F10 05A05 05C25 20P05 20B05 20C30 PDFBibTeX XMLCite \textit{L. Hanany} and \textit{D. Puder}, Int. Math. Res. Not. 2023, No. 11, 9221--9297 (2023; Zbl 1522.20016) Full Text: DOI
Ye, Shengkui Topological symmetries of simply connected 4-manifolds and actions of automorphism groups of free groups. (English) Zbl 07693374 Q. J. Math. 74, No. 2, 779-797 (2023). MSC: 20E05 20F28 55M20 55M35 PDFBibTeX XMLCite \textit{S. Ye}, Q. J. Math. 74, No. 2, 779--797 (2023; Zbl 07693374) Full Text: DOI arXiv
Guimarães, Inês F. On the transition monoid of the Stallings automaton of a subgroup of a free group. (English) Zbl 1527.20046 Int. J. Algebra Comput. 33, No. 3, 445-479 (2023). MSC: 20F10 20E07 20M07 20M35 20E36 68Q45 20E05 PDFBibTeX XMLCite \textit{I. F. Guimarães}, Int. J. Algebra Comput. 33, No. 3, 445--479 (2023; Zbl 1527.20046) Full Text: DOI arXiv
Chuah, Chian Yeong; Liu, Zhenchuan; Mei, Tao Characterization of positive definite, radial functions on free groups. (English) Zbl 1527.43003 Proc. Am. Math. Soc., Ser. B 10, 168-181 (2023). MSC: 43A35 20E05 PDFBibTeX XMLCite \textit{C. Y. Chuah} et al., Proc. Am. Math. Soc., Ser. B 10, 168--181 (2023; Zbl 1527.43003) Full Text: DOI arXiv
Dovhyi, Serhii; Muliarchyk, Kyrylo On the topology of the space of bi-orderings of a free group on two generators. (English) Zbl 07687951 Groups Geom. Dyn. 17, No. 2, 613-632 (2023). MSC: 06F15 20E05 PDFBibTeX XMLCite \textit{S. Dovhyi} and \textit{K. Muliarchyk}, Groups Geom. Dyn. 17, No. 2, 613--632 (2023; Zbl 07687951) Full Text: DOI arXiv
Shriver, Christopher The relative \(f\)-invariant and non-uniform random sofic approximations. (English) Zbl 1518.37028 Ergodic Theory Dyn. Syst. 43, No. 6, 2073-2110 (2023). MSC: 37B40 37A10 37A35 28D20 20E05 PDFBibTeX XMLCite \textit{C. Shriver}, Ergodic Theory Dyn. Syst. 43, No. 6, 2073--2110 (2023; Zbl 1518.37028) Full Text: DOI arXiv
Aougab, Tarik; Clay, Matt; Rieck, Yo’av Thermodynamic metrics on outer space. (English) Zbl 07680104 Ergodic Theory Dyn. Syst. 43, No. 3, 729-793 (2023). MSC: 57K20 20F65 20E05 PDFBibTeX XMLCite \textit{T. Aougab} et al., Ergodic Theory Dyn. Syst. 43, No. 3, 729--793 (2023; Zbl 07680104) Full Text: DOI arXiv
Bestvina, Mladen; Fujiwara, Koji; Wigglesworth, Derrick The Farrell-Jones conjecture for hyperbolic-by-cyclic groups. (English) Zbl 1511.20171 Int. Math. Res. Not. 2023, No. 7, 5887-5904 (2023). MSC: 20F67 20F65 20F28 20E05 57M07 PDFBibTeX XMLCite \textit{M. Bestvina} et al., Int. Math. Res. Not. 2023, No. 7, 5887--5904 (2023; Zbl 1511.20171) Full Text: DOI arXiv
Corson, Samuel M. Correction to: “Root extraction in one-relator groups and slenderness”. (English) Zbl 1511.20111 Commun. Algebra 51, No. 3, 1320-1322 (2023). MSC: 20F05 20E05 20E06 57M07 PDFBibTeX XMLCite \textit{S. M. Corson}, Commun. Algebra 51, No. 3, 1320--1322 (2023; Zbl 1511.20111) Full Text: DOI arXiv
Klopsch, Benjamin; Mendonça, Luis; Petschick, Jan Moritz Free polynilpotent groups and the Magnus property. (English) Zbl 1517.20052 Forum Math. 35, No. 2, 573-590 (2023). Reviewer: Noraí Romeu Rocco (Brasília) MSC: 20E45 03C20 20E10 20E22 20E25 20F14 20F18 20F19 20E05 PDFBibTeX XMLCite \textit{B. Klopsch} et al., Forum Math. 35, No. 2, 573--590 (2023; Zbl 1517.20052) Full Text: DOI arXiv
Marchand, Alexis Free representations of outer automorphism groups of free products via characteristic abelian coverings. (English) Zbl 1516.20072 J. Group Theory 26, No. 2, 399-420 (2023). MSC: 20F28 20E36 20E05 20E06 PDFBibTeX XMLCite \textit{A. Marchand}, J. Group Theory 26, No. 2, 399--420 (2023; Zbl 1516.20072) Full Text: DOI arXiv
Dowdall, Spencer; Gupta, Radhika; Taylor, Samuel J. Orientable maps and polynomial invariants of free-by-cyclic groups. (English) Zbl 1514.20148 Adv. Math. 415, Article ID 108872, 45 p. (2023). MSC: 20F65 20E05 20E06 PDFBibTeX XMLCite \textit{S. Dowdall} et al., Adv. Math. 415, Article ID 108872, 45 p. (2023; Zbl 1514.20148) Full Text: DOI arXiv
Kapovich, Ilya; Simon, Zachary Primitivity index bounds in free groups, and the second Chebyshev function. (English) Zbl 1516.20094 Int. J. Algebra Comput. 33, No. 1, 105-122 (2023). MSC: 20F65 20E05 20F10 20F67 PDFBibTeX XMLCite \textit{I. Kapovich} and \textit{Z. Simon}, Int. J. Algebra Comput. 33, No. 1, 105--122 (2023; Zbl 1516.20094) Full Text: DOI arXiv
Ghosh, Pritam Relative hyperbolicity of free-by-cyclic extensions. (English) Zbl 1522.20173 Compos. Math. 159, No. 1, 153-183 (2023). Reviewer: Sebastian Hensel (München) MSC: 20F65 20E05 20F67 57M07 PDFBibTeX XMLCite \textit{P. Ghosh}, Compos. Math. 159, No. 1, 153--183 (2023; Zbl 1522.20173) Full Text: DOI arXiv
Nyberg-Brodda, Carl-Fredrik On congruence subgroups of \(\operatorname{SL}_2(\mathbb{Z}[\frac{1}{p}])\) generated by two parabolic elements. arXiv:2312.11258 Preprint, arXiv:2312.11258 [math.GR] (2023). MSC: 30F35 30F40 20E05 11J70 BibTeX Cite \textit{C.-F. Nyberg-Brodda}, ``On congruence subgroups of $\operatorname{SL}_2(\mathbb{Z}[\frac{1}{p}])$ generated by two parabolic elements'', Preprint, arXiv:2312.11258 [math.GR] (2023) Full Text: arXiv OA License
Bestvina, Mladen; Bridson, Martin R.; Wade, Richard D. On the geometry of the free factor graph for \({\rm{Aut}}(F_N)\). arXiv:2312.03535 Preprint, arXiv:2312.03535 [math.GT] (2023). MSC: 20F65 20E05 20E36 51F30 BibTeX Cite \textit{M. Bestvina} et al., ``On the geometry of the free factor graph for ${\rm{Aut}}(F_N)$'', Preprint, arXiv:2312.03535 [math.GT] (2023) Full Text: arXiv OA License
Puder, Doron; Shomroni, Yotam Stable Invariants and Their Role in Word Measures on Groups. arXiv:2311.17733 Preprint, arXiv:2311.17733 [math.GR] (2023). MSC: 60B15 20C15 60B20 05E10 20B30 20C30 20P05 22C05 20E05 22E30 28C10 57M07 20F65 20F12 BibTeX Cite \textit{D. Puder} and \textit{Y. Shomroni}, ``Stable Invariants and Their Role in Word Measures on Groups'', Preprint, arXiv:2311.17733 [math.GR] (2023) Full Text: arXiv OA License
Ascari, Dario An algorithm to recognize echelon subgroups of a free group. arXiv:2311.02784 Preprint, arXiv:2311.02784 [math.GR] (2023). MSC: 20E05 20E07 20F65 BibTeX Cite \textit{D. Ascari}, ``An algorithm to recognize echelon subgroups of a free group'', Preprint, arXiv:2311.02784 [math.GR] (2023) Full Text: arXiv OA License
Messerla, Aaron W. On the Bowditch boundary of a free group with random cyclic peripheral groups. arXiv:2310.08542 Preprint, arXiv:2310.08542 [math.GR] (2023). MSC: 20E05 20P05 20F65 20F67 BibTeX Cite \textit{A. W. Messerla}, ``On the Bowditch boundary of a free group with random cyclic peripheral groups'', Preprint, arXiv:2310.08542 [math.GR] (2023) Full Text: arXiv OA License
Garrido, Alejandra; Šunić, Zoran Branch groups with infinite rigid kernel. arXiv:2310.06581 Preprint, arXiv:2310.06581 [math.GR] (2023). MSC: 20E05 20E18 22C05 BibTeX Cite \textit{A. Garrido} and \textit{Z. Šunić}, ``Branch groups with infinite rigid kernel'', Preprint, arXiv:2310.06581 [math.GR] (2023) Full Text: arXiv OA License
Markowitz, Ari Recognition and constructive membership for purely hyperbolic groups acting on trees. arXiv:2308.16359 Preprint, arXiv:2308.16359 [math.GR] (2023). MSC: 20E08 20E05 20F65 05C05 BibTeX Cite \textit{A. Markowitz}, ``Recognition and constructive membership for purely hyperbolic groups acting on trees'', Preprint, arXiv:2308.16359 [math.GR] (2023) Full Text: arXiv OA License
Chen, William Y.; Lubotzky, Alex; Tiep, Pham Huu Finite simple characteristic quotients of the free group of rank 2. arXiv:2308.14302 Preprint, arXiv:2308.14302 [math.GR] (2023). MSC: 20E05 20G40 20F36 05E16 14H10 BibTeX Cite \textit{W. Y. Chen} et al., ``Finite simple characteristic quotients of the free group of rank 2'', Preprint, arXiv:2308.14302 [math.GR] (2023) Full Text: arXiv OA License
Roy, Mallika; Ventura, Enric Computation of endo-fixed closures in free-abelian times free groups. arXiv:2307.14443 Preprint, arXiv:2307.14443 [math.GR] (2023). MSC: 20E05 20E36 20K15 BibTeX Cite \textit{M. Roy} and \textit{E. Ventura}, ``Computation of endo-fixed closures in free-abelian times free groups'', Preprint, arXiv:2307.14443 [math.GR] (2023) Full Text: arXiv OA License
Blackburn, Simon R.; Smith, Emma; Stewart, Luke Subsets of free groups with distinct differences. arXiv:2307.03627 Preprint, arXiv:2307.03627 [math.GR] (2023). MSC: 20E05 05B10 BibTeX Cite \textit{S. R. Blackburn} et al., ``Subsets of free groups with distinct differences'', Preprint, arXiv:2307.03627 [math.GR] (2023) Full Text: arXiv OA License
Bridson, Martin R.; Wade, Richard D. Commensurations of \({{\rm{Aut}}}(F_N)\) and its Torelli subgroup. arXiv:2306.13437 Preprint, arXiv:2306.13437 [math.GR] (2023). MSC: 20F65 20E36 20E05 57M07 BibTeX Cite \textit{M. R. Bridson} and \textit{R. D. Wade}, ``Commensurations of ${{\rm{Aut}}}(F_N)$ and its Torelli subgroup'', Preprint, arXiv:2306.13437 [math.GR] (2023) Full Text: arXiv OA License
Roman’kov, Vitaly On the Andrews-Curtis groups: non-finite presentability. arXiv:2305.11838 Preprint, arXiv:2305.11838 [math.GR] (2023). MSC: 20E05 20F05 BibTeX Cite \textit{V. Roman'kov}, ``On the Andrews-Curtis groups: non-finite presentability'', Preprint, arXiv:2305.11838 [math.GR] (2023) Full Text: arXiv OA License
Dahmani, François; Touikan, Nicholas Unipotent linear suspensions of free groups. arXiv:2305.11274 Preprint, arXiv:2305.11274 [math.GR] (2023). MSC: 20F28 20E36 20E05 20E06 BibTeX Cite \textit{F. Dahmani} and \textit{N. Touikan}, ``Unipotent linear suspensions of free groups'', Preprint, arXiv:2305.11274 [math.GR] (2023) Full Text: arXiv OA License
Andrew, Naomi; Guerch, Yassine; Hughes, Sam; Kudlinska, Monika Homology growth of polynomially growing mapping tori. arXiv:2305.10410 Preprint, arXiv:2305.10410 [math.GR] (2023). MSC: 20J05 20E05 20E08 20E26 20F28 57M07 BibTeX Cite \textit{N. Andrew} et al., ``Homology growth of polynomially growing mapping tori'', Preprint, arXiv:2305.10410 [math.GR] (2023) Full Text: arXiv OA License
Rust, Robert A Bound for Higher Degree Automorphisms of \(F_n\). arXiv:2305.07994 Preprint, arXiv:2305.07994 [math.GR] (2023). MSC: 20E05 BibTeX Cite \textit{R. Rust}, ``A Bound for Higher Degree Automorphisms of $F_n$'', Preprint, arXiv:2305.07994 [math.GR] (2023) Full Text: arXiv OA License
Marion, Claude; Silva, Pedro V.; Tracey, Gareth On the pseudovariety of groups \(\mathbf{U} = \displaystyle\bigvee_{p \in \mathbb{P}} {\bf Ab}(p) \ast {\bf Ab}(p-1)\). arXiv:2304.10522 Preprint, arXiv:2304.10522 [math.GR] (2023). MSC: 20E05 20E10 20F10 20F16 BibTeX Cite \textit{C. Marion} et al., ``On the pseudovariety of groups $\mathbf{U} = \displaystyle\bigvee_{p \in \mathbb{P}} {\bf Ab}(p) \ast {\bf Ab}(p-1)$'', Preprint, arXiv:2304.10522 [math.GR] (2023) Full Text: arXiv OA License
Marion, Claude; Silva, Pedro V.; Tracey, Gareth The pro-\(k\)-solvable topology on a free group. arXiv:2304.10235 Preprint, arXiv:2304.10235 [math.GR] (2023). MSC: 20E05 20E10 20F10 20F22 BibTeX Cite \textit{C. Marion} et al., ``The pro-$k$-solvable topology on a free group'', Preprint, arXiv:2304.10235 [math.GR] (2023) Full Text: arXiv OA License
Marion, Claude; Silva, Pedro V.; Tracey, Gareth On the closure of cyclic subgroups of a free group in pro-V topologies. arXiv:2304.10230 Preprint, arXiv:2304.10230 [math.GR] (2023). MSC: 20E05 20E10 20F10 20F16 BibTeX Cite \textit{C. Marion} et al., ``On the closure of cyclic subgroups of a free group in pro-V topologies'', Preprint, arXiv:2304.10230 [math.GR] (2023) Full Text: arXiv OA License
Jaspars, Henry The stable conjugation-invariant word norm is rational in free groups. arXiv:2304.03618 Preprint, arXiv:2304.03618 [math.GR] (2023). MSC: 20F65 20E05 68R15 68Q45 BibTeX Cite \textit{H. Jaspars}, ``The stable conjugation-invariant word norm is rational in free groups'', Preprint, arXiv:2304.03618 [math.GR] (2023) Full Text: arXiv OA License
Roy, Mallika; Ventura, Enric; Weil, Pascal The central tree property and algorithmic problems on subgroups of free groups. arXiv:2303.14697 Preprint, arXiv:2303.14697 [math.GR] (2023). MSC: 20E05 20F10 68Q17 BibTeX Cite \textit{M. Roy} et al., ``The central tree property and algorithmic problems on subgroups of free groups'', Preprint, arXiv:2303.14697 [math.GR] (2023) Full Text: arXiv OA License
Gautero, François A new class of a-T-menable free-by-free groups. arXiv:2303.04540 Preprint, arXiv:2303.04540 [math.GR] (2023). MSC: 20F65 20E05 20E22 BibTeX Cite \textit{F. Gautero}, ``A new class of a-T-menable free-by-free groups'', Preprint, arXiv:2303.04540 [math.GR] (2023) Full Text: arXiv OA License
Grigorchuk, Rostislav; Quint, Jean-Francois; Shaikh, Asif Multivariate growth and cogrowth. arXiv:2303.04190 Preprint, arXiv:2303.04190 [math.GR] (2023). MSC: 20E05 20F69 05A05 05A15 05A16 60F10 68Q45 BibTeX Cite \textit{R. Grigorchuk} et al., ``Multivariate growth and cogrowth'', Preprint, arXiv:2303.04190 [math.GR] (2023) Full Text: arXiv OA License
Atabekyan, V. S.; Aslanyan, H. T.; Aslanyan, S. T. Powers of subsets in free periodic groups. (English) Zbl 1515.20182 Proc. Yerevan State Univ., Phys. Math. Sci. 56, No. 2, 43-48 (2022). Reviewer: Stratos Prassidis (Karlovasi) MSC: 20F50 20F05 20E05 PDFBibTeX XMLCite \textit{V. S. Atabekyan} et al., Proc. Yerevan State Univ., Phys. Math. Sci. 56, No. 2, 43--48 (2022; Zbl 1515.20182) Full Text: DOI MNR
Delgado, Jordi; Ventura, Enric Stallings automata: a roundtrip between algebra and geometry. (Spanish. English summary) Zbl 1509.20049 Butll. Soc. Catalana Mat. 37, No. 1, 5-59 (2022). MSC: 20F10 20E05 20F05 20-02 PDFBibTeX XMLCite \textit{J. Delgado} and \textit{E. Ventura}, Butll. Soc. Catalana Mat. 37, No. 1, 5--59 (2022; Zbl 1509.20049) Full Text: DOI
Spector, Reemon On the smallest non-trivial action of \(\operatorname{SAut}(\mathrm{F}_n)\) for small \(n\). (English) Zbl 1502.20023 Undergrad. Math J. 23, No. 2, Paper No. 4, 9 p. (2022). MSC: 20F28 20E05 PDFBibTeX XMLCite \textit{R. Spector}, Undergrad. Math J. 23, No. 2, Paper No. 4, 9 p. (2022; Zbl 1502.20023) Full Text: arXiv Link
Heuer, Nicolaus; Löh, Clara Simplicial volume of one-relator groups and stable commutator length. (English) Zbl 1510.20037 Algebr. Geom. Topol. 22, No. 4, 1615-1661 (2022). Reviewer: Qiang Zhang (Xi’an) MSC: 20F65 20E05 20J05 57M07 PDFBibTeX XMLCite \textit{N. Heuer} and \textit{C. Löh}, Algebr. Geom. Topol. 22, No. 4, 1615--1661 (2022; Zbl 1510.20037) Full Text: DOI arXiv
Carvalho, André On the dynamics of extensions of free-abelian times free groups endomorphisms to the completion. (English) Zbl 1512.20098 Proc. Edinb. Math. Soc., II. Ser. 65, No. 3, 705-735 (2022). MSC: 20E36 37C25 20K25 20E05 37B25 PDFBibTeX XMLCite \textit{A. Carvalho}, Proc. Edinb. Math. Soc., II. Ser. 65, No. 3, 705--735 (2022; Zbl 1512.20098) Full Text: DOI arXiv
Kim, Sungwoon; Tan, Ser Peow; Zhang, Tengren Weakly positive and directed Anosov representations. (English) Zbl 1523.20026 Adv. Math. 408, Part B, Article ID 108611, 72 p. (2022). Reviewer: Valeriy Bardakov (Novosibirsk) MSC: 20C25 20E05 57M60 PDFBibTeX XMLCite \textit{S. Kim} et al., Adv. Math. 408, Part B, Article ID 108611, 72 p. (2022; Zbl 1523.20026) Full Text: DOI arXiv
Putman, Andrew The commutator subgroups of free groups and surface groups. (English) Zbl 1506.20064 Enseign. Math. (2) 68, No. 3-4, 389-408 (2022). Reviewer: Fabienne Chouraqui (Haifa) MSC: 20E05 20F05 57M07 20F12 20F65 20J05 PDFBibTeX XMLCite \textit{A. Putman}, Enseign. Math. (2) 68, No. 3--4, 389--408 (2022; Zbl 1506.20064) Full Text: DOI arXiv
Delgado, Jordi; Ventura, Enric A list of applications of Stallings automata. (English) Zbl 1513.20047 Trans. Comb. 11, No. 3, 181-235 (2022). MSC: 20E05 20F05 20F10 PDFBibTeX XMLCite \textit{J. Delgado} and \textit{E. Ventura}, Trans. Comb. 11, No. 3, 181--235 (2022; Zbl 1513.20047) Full Text: DOI arXiv
Goulet-Ouellet, Herman Freeness of Schützenberger groups of primitive substitutions. (English) Zbl 07579500 Int. J. Algebra Comput. 32, No. 6, 1101-1123 (2022). MSC: 20E18 37B10 20E05 20M05 PDFBibTeX XMLCite \textit{H. Goulet-Ouellet}, Int. J. Algebra Comput. 32, No. 6, 1101--1123 (2022; Zbl 07579500) Full Text: DOI arXiv
Isherwood, Shaun; Williams, Gerald On the Tits alternative for cyclically presented groups with length-four positive relators. (English) Zbl 1506.20070 J. Group Theory 25, No. 5, 837-850 (2022). Reviewer: Enrico Jabara (Venezia) MSC: 20F05 20E05 PDFBibTeX XMLCite \textit{S. Isherwood} and \textit{G. Williams}, J. Group Theory 25, No. 5, 837--850 (2022; Zbl 1506.20070) Full Text: DOI
Kapovich, Ilya Primitivity rank for random elements in free groups. (English) Zbl 1506.20063 J. Group Theory 25, No. 5, 823-835 (2022). Reviewer: Gerald Williams (Colchester) MSC: 20E05 20F05 20F10 20E07 20P05 05C25 PDFBibTeX XMLCite \textit{I. Kapovich}, J. Group Theory 25, No. 5, 823--835 (2022; Zbl 1506.20063) Full Text: DOI arXiv
André, Simon Homogeneity in virtually free groups. (English) Zbl 1512.03056 Isr. J. Math. 249, No. 1, 167-225 (2022). Reviewer: Enrico Jabara (Venezia) MSC: 03C60 20E05 20E06 20F10 20F67 PDFBibTeX XMLCite \textit{S. André}, Isr. J. Math. 249, No. 1, 167--225 (2022; Zbl 1512.03056) Full Text: DOI
Silva, Jaime D. Equivariant Hodge-Deligne polynomials of symmetric products of algebraic groups. (English) Zbl 1495.14067 Manuscr. Math. 169, No. 1-2, 33-50 (2022). Reviewer: Sean Lawton (Fairfax) MSC: 14L30 20E05 PDFBibTeX XMLCite \textit{J. D. Silva}, Manuscr. Math. 169, No. 1--2, 33--50 (2022; Zbl 1495.14067) Full Text: DOI arXiv
Snopce, Ilir; Tanushevski, Slobodan; Zalesskii, Pavel Retracts of free groups and a question of Bergman. (English) Zbl 1523.20040 Int. Math. Res. Not. 2022, No. 11, 8280-8294 (2022). Reviewer: Valeriy Bardakov (Novosibirsk) MSC: 20E05 20E07 20E36 20E18 PDFBibTeX XMLCite \textit{I. Snopce} et al., Int. Math. Res. Not. 2022, No. 11, 8280--8294 (2022; Zbl 1523.20040) Full Text: DOI arXiv
Amontova, Sofia; Bucher, Michelle Trivial cup products in bounded cohomology of the free group via aligned chains. (English) Zbl 07557606 Forum Math. 34, No. 4, 933-943 (2022). MSC: 20J06 20E05 PDFBibTeX XMLCite \textit{S. Amontova} and \textit{M. Bucher}, Forum Math. 34, No. 4, 933--943 (2022; Zbl 07557606) Full Text: DOI arXiv
Delgado, Jordi; Ventura, Enric Stallings automata for free-times-abelian groups: intersections and index. (English) Zbl 07556782 Publ. Mat., Barc. 66, No. 2, 789-830 (2022). MSC: 20E05 20E22 20F05 20F10 PDFBibTeX XMLCite \textit{J. Delgado} and \textit{E. Ventura}, Publ. Mat., Barc. 66, No. 2, 789--830 (2022; Zbl 07556782) Full Text: DOI arXiv
Monroe, Jeff; Sinha, Dev Linking of letters and the lower central series of free groups. (English) Zbl 1511.20089 Commun. Algebra 50, No. 9, 3678-3703 (2022). MSC: 20E05 20F14 55Q25 PDFBibTeX XMLCite \textit{J. Monroe} and \textit{D. Sinha}, Commun. Algebra 50, No. 9, 3678--3703 (2022; Zbl 1511.20089) Full Text: DOI arXiv
Bamberger, Jacob; Wise, Daniel T. Failure of the finitely generated intersection property for ascending HNN extensions of free groups. (English) Zbl 1508.20030 Int. J. Algebra Comput. 32, No. 5, 885-893 (2022). Reviewer: Yves Stalder (Aubière) MSC: 20E06 20F65 20E05 20F67 PDFBibTeX XMLCite \textit{J. Bamberger} and \textit{D. T. Wise}, Int. J. Algebra Comput. 32, No. 5, 885--893 (2022; Zbl 1508.20030) Full Text: DOI arXiv
Logan, Alan D. The equalizer conjecture for the free group of rank two. (English) Zbl 1497.20031 Q. J. Math. 73, No. 2, 777-793 (2022). Reviewer: Alexander Ivanovich Budkin (Barnaul) MSC: 20E05 PDFBibTeX XMLCite \textit{A. D. Logan}, Q. J. Math. 73, No. 2, 777--793 (2022; Zbl 1497.20031) Full Text: DOI arXiv
Burton, Peter; Juschenko, Kate The extension problem in free harmonic analysis. (English) Zbl 1502.43003 Ann. Funct. Anal. 13, No. 3, Paper No. 43, 27 p. (2022). MSC: 43A35 20E05 PDFBibTeX XMLCite \textit{P. Burton} and \textit{K. Juschenko}, Ann. Funct. Anal. 13, No. 3, Paper No. 43, 27 p. (2022; Zbl 1502.43003) Full Text: DOI arXiv
Goulet-Ouellet, Herman Pronilpotent quotients associated with primitive substitutions. (English) Zbl 1498.20070 J. Algebra 606, 341-370 (2022). Reviewer: Pavel Zalesskij (Brasília) MSC: 20E18 20F05 37B10 68R15 20M05 20E05 PDFBibTeX XMLCite \textit{H. Goulet-Ouellet}, J. Algebra 606, 341--370 (2022; Zbl 1498.20070) Full Text: DOI arXiv
Renaud, François Rewriting the elements in the intersection of the kernels of two morphisms between free groups. (English) Zbl 1487.20012 Bull. Belg. Math. Soc. - Simon Stevin 28, No. 4, 547-559 (2022). MSC: 20F10 18E50 20E05 20J15 57K12 PDFBibTeX XMLCite \textit{F. Renaud}, Bull. Belg. Math. Soc. - Simon Stevin 28, No. 4, 547--559 (2022; Zbl 1487.20012) Full Text: DOI arXiv
Andrew, Naomi; Martino, Armando Free-by-cyclic groups, automorphisms and actions on nearly canonical trees. (English) Zbl 1522.20097 J. Algebra 604, 451-495 (2022). MSC: 20E08 20E05 20E36 20F28 20F65 PDFBibTeX XMLCite \textit{N. Andrew} and \textit{A. Martino}, J. Algebra 604, 451--495 (2022; Zbl 1522.20097) Full Text: DOI arXiv
GrebÍk, Jan Approximate Schreier decorations and approximate Kőnig’s line coloring theorem. (Décorations de Schreier approchées et un théorème de coloriage de lignes de Kőnig approché.) (English. French summary) Zbl 1497.37047 Ann. Henri Lebesgue 5, 303-315 (2022). MSC: 37E25 03E15 20E05 05C15 28A05 PDFBibTeX XMLCite \textit{J. GrebÍk}, Ann. Henri Lebesgue 5, 303--315 (2022; Zbl 1497.37047) Full Text: DOI arXiv
Louder, Larsen; Wilton, Henry Negative immersions for one-relator groups. (English) Zbl 07500558 Duke Math. J. 171, No. 3, 547-594 (2022). MSC: 20E05 20F65 05C10 05C25 57M20 PDFBibTeX XMLCite \textit{L. Louder} and \textit{H. Wilton}, Duke Math. J. 171, No. 3, 547--594 (2022; Zbl 07500558) Full Text: DOI arXiv
Buran, Michal Separability and randomness in free groups. (English) Zbl 1514.20090 J. Algebra 598, 518-535 (2022). MSC: 20E05 20P05 PDFBibTeX XMLCite \textit{M. Buran}, J. Algebra 598, 518--535 (2022; Zbl 1514.20090) Full Text: DOI arXiv
Conder, Matthew J. Discrete and free groups acting on locally finite trees. (English) Zbl 1490.20024 J. Algebra 597, 162-189 (2022). Reviewer: Vincent Guirardel (Rennes) MSC: 20E08 20E05 20F65 PDFBibTeX XMLCite \textit{M. J. Conder}, J. Algebra 597, 162--189 (2022; Zbl 1490.20024) Full Text: DOI arXiv
Kapovich, Ilya; Maher, Joseph; Pfaff, Catherine; Taylor, Samuel J. Random outer automorphisms of free groups: attracting trees and their singularity structures. (English) Zbl 1520.20093 Trans. Am. Math. Soc. 375, No. 1, 525-557 (2022). Reviewer: Erich W. Ellers (Toronto) MSC: 20F65 20E36 20E05 57M07 PDFBibTeX XMLCite \textit{I. Kapovich} et al., Trans. Am. Math. Soc. 375, No. 1, 525--557 (2022; Zbl 1520.20093) Full Text: DOI arXiv
Ciobanu, Laura; Logan, Alan D. Fixed points and stable images of endomorphisms for the free group of rank two. (English) Zbl 1514.20144 J. Algebra 591, 538-576 (2022). Reviewer: V. V. Gorbatsevich (Moskva) MSC: 20F65 20F10 20E05 PDFBibTeX XMLCite \textit{L. Ciobanu} and \textit{A. D. Logan}, J. Algebra 591, 538--576 (2022; Zbl 1514.20144) Full Text: DOI arXiv
Andrew, Naomi; Hughes, Sam; Kudlinska, Monika Torsion homology growth of polynomially growing free-by-cyclic groups. arXiv:2211.04389 Preprint, arXiv:2211.04389 [math.GR] (2022). MSC: 20J05 20E05 20E08 20E26 20F28 57M07 BibTeX Cite \textit{N. Andrew} et al., ``Torsion homology growth of polynomially growing free-by-cyclic groups'', Preprint, arXiv:2211.04389 [math.GR] (2022) Full Text: arXiv OA License
Mutanguha, Jean Pierre Limit trees for free group automorphisms: universality. arXiv:2210.01275 Preprint, arXiv:2210.01275 [math.GR] (2022). MSC: 20F65 20E05 20E08 20E36 BibTeX Cite \textit{J. P. Mutanguha}, ``Limit trees for free group automorphisms: universality'', Preprint, arXiv:2210.01275 [math.GR] (2022) Full Text: arXiv OA License
Guerch, Yassine Roots of outer automorphisms of free groups and centralizers of abelian subgroups of \(\mathrm{Out}(F_N)\). arXiv:2212.07674 Preprint, arXiv:2212.07674 [math.GR] (2022). MSC: 20E05 20E08 20E36 20F65 BibTeX Cite \textit{Y. Guerch}, ``Roots of outer automorphisms of free groups and centralizers of abelian subgroups of $\mathrm{Out}(F_N)$'', Preprint, arXiv:2212.07674 [math.GR] (2022) Full Text: arXiv OA License
Schlich, Suzanne Equivalence of primitive-stable and Bowditch actions of the free group of rank two on Gromov-hyperbolic spaces. arXiv:2211.14546 Preprint, arXiv:2211.14546 [math.GT] (2022). MSC: 57M60 30L05 20E05 51F30 BibTeX Cite \textit{S. Schlich}, ``Equivalence of primitive-stable and Bowditch actions of the free group of rank two on Gromov-hyperbolic spaces'', Preprint, arXiv:2211.14546 [math.GT] (2022) Full Text: arXiv OA License