Swaminathan, Ashvin A. Most odd-degree binary forms fail to primitively represent a square. (English) Zbl 07810322 Compos. Math. 160, No. 3, 481-517 (2024). MSC: 11D45 14G05 20G25 14H25 PDFBibTeX XMLCite \textit{A. A. Swaminathan}, Compos. Math. 160, No. 3, 481--517 (2024; Zbl 07810322) Full Text: DOI
Carnovale, Giovanna; Cuadra, Juan; Masut, Elisabetta Non-existence of integral Hopf orders for twists of several simple groups of Lie type. (English) Zbl 07787900 Publ. Mat., Barc. 68, No. 1, 73-101 (2024). MSC: 16T05 16H10 20G40 PDFBibTeX XMLCite \textit{G. Carnovale} et al., Publ. Mat., Barc. 68, No. 1, 73--101 (2024; Zbl 07787900) Full Text: DOI arXiv
Wood, Melanie Matchett Probability theory for random groups arising in number theory. (English) Zbl 07821699 Beliaev, Dmitry (ed.) et al., International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6–14, 2022. Volume 6. Sections 12–14. Berlin: European Mathematical Society (EMS). 4476-4508 (2023). MSC: 20P05 60E05 60B20 60F05 15B52 11R29 11R45 PDFBibTeX XMLCite \textit{M. M. Wood}, in: International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6--14, 2022. Volume 6. Sections 12--14. Berlin: European Mathematical Society (EMS). 4476--4508 (2023; Zbl 07821699) Full Text: DOI arXiv OA License
Bary-Soroker, Lior; Koukoulopoulos, Dimitris; Kozma, Gady Irreducibility of random polynomials: general measures. (English) Zbl 07724111 Invent. Math. 233, No. 3, 1041-1120 (2023). MSC: 11R09 12E05 11N25 11T55 05A05 20B30 PDFBibTeX XMLCite \textit{L. Bary-Soroker} et al., Invent. Math. 233, No. 3, 1041--1120 (2023; Zbl 07724111) Full Text: DOI arXiv
Laga, Jef Arithmetic statistics of Prym surfaces. (English) Zbl 1525.11066 Math. Ann. 386, No. 1-2, 247-327 (2023). Reviewer: Noriko Yui (Kingston) MSC: 11G10 14G25 20G30 PDFBibTeX XMLCite \textit{J. Laga}, Math. Ann. 386, No. 1--2, 247--327 (2023; Zbl 1525.11066) Full Text: DOI arXiv
Castryck, Wouter; Vermeulen, Floris; Zhao, Yongqiang Scrollar invariants, syzygies and representations of the symmetric group. (English) Zbl 1511.14049 J. Reine Angew. Math. 796, 117-159 (2023). Reviewer: Edoardo Ballico (Povo) MSC: 14H30 14F35 20C05 PDFBibTeX XMLCite \textit{W. Castryck} et al., J. Reine Angew. Math. 796, 117--159 (2023; Zbl 1511.14049) Full Text: DOI arXiv
Grodal, Jesper Endotrivial modules for finite groups via homotopy theory. (English) Zbl 1521.20025 J. Am. Math. Soc. 36, No. 1, 177-250 (2023). Reviewer: Christopher P. Bendel (Menomonie) MSC: 20C20 20J05 55P91 PDFBibTeX XMLCite \textit{J. Grodal}, J. Am. Math. Soc. 36, No. 1, 177--250 (2023; Zbl 1521.20025) Full Text: DOI arXiv
Franchi, Clara; Ivanov, Alexander A.; Mainardis, Mario Saturated Majorana representations of \(A_{12}\). (English) Zbl 1517.20019 Trans. Am. Math. Soc. 375, No. 8, 5753-5801 (2022). Reviewer: Burkhard Külshammer (Jena) MSC: 20C30 20C15 17B69 05E10 PDFBibTeX XMLCite \textit{C. Franchi} et al., Trans. Am. Math. Soc. 375, No. 8, 5753--5801 (2022; Zbl 1517.20019) Full Text: DOI arXiv
Carlson, Jon F.; Grodal, Jesper; Mazza, Nadia; Nakano, Daniel K. Torsion free endotrivial modules for finite groups of Lie type. (English) Zbl 1514.20045 Pac. J. Math. 317, No. 2, 239-274 (2022). MSC: 20C33 20C20 20D15 20D20 PDFBibTeX XMLCite \textit{J. F. Carlson} et al., Pac. J. Math. 317, No. 2, 239--274 (2022; Zbl 1514.20045) Full Text: DOI arXiv
Macedo, André; Newton, Rachel Explicit methods for the Hasse norm principle and applications to \(A_n\) and \(S_n\) extensions. (English) Zbl 1512.14013 Math. Proc. Camb. Philos. Soc. 172, No. 3, 489-529 (2022). Reviewer: Yong Hu (Guangdong) MSC: 14G05 11E72 11R37 20G30 PDFBibTeX XMLCite \textit{A. Macedo} and \textit{R. Newton}, Math. Proc. Camb. Philos. Soc. 172, No. 3, 489--529 (2022; Zbl 1512.14013) Full Text: DOI arXiv
Chintala, Vineeth Two lives: compositions of unimodular rows. (English) Zbl 1470.13017 Adv. Math. 389, Article ID 107917, 26 p. (2021). Reviewer: Wilberd van der Kallen (Utrecht) MSC: 13C10 19B14 20G35 15A66 17A75 19A13 PDFBibTeX XMLCite \textit{V. Chintala}, Adv. Math. 389, Article ID 107917, 26 p. (2021; Zbl 1470.13017) Full Text: DOI arXiv
Taylor, Jay; Tiep, Pham Huu Lusztig induction, unipotent supports, and character bounds. (English) Zbl 1482.20006 Trans. Am. Math. Soc. 373, No. 12, 8637-8676 (2020). Reviewer: Mohammad-Reza Darafsheh (Tehran) MSC: 20C30 20C15 PDFBibTeX XMLCite \textit{J. Taylor} and \textit{P. H. Tiep}, Trans. Am. Math. Soc. 373, No. 12, 8637--8676 (2020; Zbl 1482.20006) Full Text: DOI arXiv
Alberts, Brandon Cohen-Lenstra moments for some nonabelian groups. (English. French summary) Zbl 1466.11083 J. Théor. Nombres Bordx. 32, No. 3, 631-664 (2020). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 11R29 11N56 20E22 20F28 PDFBibTeX XMLCite \textit{B. Alberts}, J. Théor. Nombres Bordx. 32, No. 3, 631--664 (2020; Zbl 1466.11083) Full Text: DOI arXiv
Dao, Phuong Bac On the topology of geometric and rational orbits for algebraic group actions over valued fields. (English) Zbl 1471.14095 J. Group Theory 23, No. 6, 965-981 (2020). Reviewer: Michael Bate (York) MSC: 14L24 20G15 PDFBibTeX XMLCite \textit{P. B. Dao}, J. Group Theory 23, No. 6, 965--981 (2020; Zbl 1471.14095) Full Text: DOI
Breuer, Thomas; Magaard, Kay; Wilson, Robert A. Verification of the ordinary character table of the baby monster. (English) Zbl 1485.20017 J. Algebra 561, 111-130 (2020). MSC: 20C15 20C34 20D08 20-08 PDFBibTeX XMLCite \textit{T. Breuer} et al., J. Algebra 561, 111--130 (2020; Zbl 1485.20017) Full Text: DOI arXiv
Pollack, Aaron The Fourier expansion of modular forms on quaternionic exceptional groups. (English) Zbl 1481.11043 Duke Math. J. 169, No. 7, 1209-1280 (2020). Reviewer: Haowu Wang (Bonn) MSC: 11F03 11F30 20G41 PDFBibTeX XMLCite \textit{A. Pollack}, Duke Math. J. 169, No. 7, 1209--1280 (2020; Zbl 1481.11043) Full Text: DOI arXiv Euclid
Johnson-Freyd, Theo; Treumann, David Third homology of some sporadic finite groups. (English) Zbl 1458.20017 SIGMA, Symmetry Integrability Geom. Methods Appl. 15, Paper 059, 38 p. (2019). Reviewer: Robert Wilson (London) MSC: 20D08 20J06 PDFBibTeX XMLCite \textit{T. Johnson-Freyd} and \textit{D. Treumann}, SIGMA, Symmetry Integrability Geom. Methods Appl. 15, Paper 059, 38 p. (2019; Zbl 1458.20017) Full Text: DOI arXiv
Lipnowski, Michael; Tsimerman, Jacob Cohen-Lenstra heuristics for étale group schemes and symplectic pairings. (English) Zbl 1458.14057 Compos. Math. 155, No. 4, 758-775 (2019). Reviewer: Nikolaj M. Glazunov (Kyïv) MSC: 14L15 11G20 11S31 20G05 20J05 14H10 15B51 PDFBibTeX XMLCite \textit{M. Lipnowski} and \textit{J. Tsimerman}, Compos. Math. 155, No. 4, 758--775 (2019; Zbl 1458.14057) Full Text: DOI arXiv
Hyde, Trevor; Lagarias, Jeffrey C. Polynomial splitting measures and cohomology of the pure braid group. (English) Zbl 1469.11416 Arnold Math. J. 3, No. 2, 219-249 (2017). MSC: 11R09 11R32 11R34 12E20 12E25 20F36 PDFBibTeX XMLCite \textit{T. Hyde} and \textit{J. C. Lagarias}, Arnold Math. J. 3, No. 2, 219--249 (2017; Zbl 1469.11416) Full Text: DOI arXiv
Cégielski, Patrick; Grigorieff, Serge; Guessarian, Irène Congruence preserving functions on free monoids. (English) Zbl 1435.08001 Algebra Univers. 78, No. 3, 389-406 (2017). Reviewer: Anna Zamojska-Dzienio (Warsaw) MSC: 08A30 08B20 08A40 20M05 PDFBibTeX XMLCite \textit{P. Cégielski} et al., Algebra Univers. 78, No. 3, 389--406 (2017; Zbl 1435.08001) Full Text: DOI arXiv
Burness, Timothy C.; Guralnick, Robert M.; Saxl, Jan On base sizes for algebraic groups. (English) Zbl 1445.20002 J. Eur. Math. Soc. (JEMS) 19, No. 8, 2269-2341 (2017). Reviewer: Erich W. Ellers (Toronto) MSC: 20B15 20G15 20G41 20D06 20G40 PDFBibTeX XMLCite \textit{T. C. Burness} et al., J. Eur. Math. Soc. (JEMS) 19, No. 8, 2269--2341 (2017; Zbl 1445.20002) Full Text: DOI
Oblomkov, Alexei; Yun, Zhiwei Geometric representations of graded and rational Cherednik algebras. (English) Zbl 1403.20007 Adv. Math. 292, 601-706 (2016). MSC: 20C08 14L35 20G25 PDFBibTeX XMLCite \textit{A. Oblomkov} and \textit{Z. Yun}, Adv. Math. 292, 601--706 (2016; Zbl 1403.20007) Full Text: DOI arXiv
Church, Thomas; Ellenberg, Jordan S.; Farb, Benson FI-modules and stability for representations of symmetric groups. (English) Zbl 1339.55004 Duke Math. J. 164, No. 9, 1833-1910 (2015). Reviewer: Saïd Zarati (Tunis) MSC: 55N25 05E10 20J06 20C30 18B99 55R80 PDFBibTeX XMLCite \textit{T. Church} et al., Duke Math. J. 164, No. 9, 1833--1910 (2015; Zbl 1339.55004) Full Text: DOI arXiv Euclid
Adam, Michael; Malle, Gunter A class group heuristic based on the distribution of 1-eigenspaces in matrix groups. (English) Zbl 1371.11145 J. Number Theory 149, 225-235 (2015). MSC: 11R29 15B33 20P05 PDFBibTeX XMLCite \textit{M. Adam} and \textit{G. Malle}, J. Number Theory 149, 225--235 (2015; Zbl 1371.11145) Full Text: DOI arXiv
Delaunay, Christophe; Jouhet, Frédéric \(p^\ell\)-torsion points in finite abelian groups and combinatorial identities. (English) Zbl 1286.11087 Adv. Math. 258, 13-45 (2014). MSC: 11G05 11R29 11B75 20K01 PDFBibTeX XMLCite \textit{C. Delaunay} and \textit{F. Jouhet}, Adv. Math. 258, 13--45 (2014; Zbl 1286.11087) Full Text: DOI arXiv
Frisch, Sophie; Krenn, Daniel Sylow \(p\)-groups of polynomial permutations on the integers mod \(p^n\). (English) Zbl 1300.20025 J. Number Theory 133, No. 12, 4188-4199 (2013). MSC: 20D20 11T06 11C08 13M10 20E18 20B35 PDFBibTeX XMLCite \textit{S. Frisch} and \textit{D. Krenn}, J. Number Theory 133, No. 12, 4188--4199 (2013; Zbl 1300.20025) Full Text: DOI arXiv
Dào Phuong Bǎć; Nguyêñ Quôć Thǎńg On the topology of relative and geometric orbits for actions of algebraic groups over complete fields. (English) Zbl 1286.14063 J. Algebra 390, 181-198 (2013). Reviewer: Wen-Wei Li (Beijing) MSC: 14L24 14L30 20G15 PDFBibTeX XMLCite \textit{Dào Phuong Bǎć} and \textit{Nguyêñ Quôć Thǎńg}, J. Algebra 390, 181--198 (2013; Zbl 1286.14063) Full Text: DOI
Vavilov, N. A.; Stepanov, A. V. Linear groups over general rings. I: Generalities. (English. Russian original) Zbl 1278.20066 J. Math. Sci., New York 188, No. 5, 490-550 (2013); translation from Zap. Nauchn. Semin. POMI 394, 33-139 (2011). Reviewer: L. N. Vaserstein (University Park) MSC: 20G35 20H25 20-02 20F05 PDFBibTeX XMLCite \textit{N. A. Vavilov} and \textit{A. V. Stepanov}, J. Math. Sci., New York 188, No. 5, 490--550 (2013; Zbl 1278.20066); translation from Zap. Nauchn. Semin. POMI 394, 33--139 (2011) Full Text: DOI
Savin, Gordan; Woodbury, Michael Structure of internal modules and a formula for the spherical vector of minimal representations. (English) Zbl 1170.22008 J. Algebra 312, No. 2, 755-772 (2007). Reviewer: Dubravka Ban (Carbondale) MSC: 22E50 20G05 PDFBibTeX XMLCite \textit{G. Savin} and \textit{M. Woodbury}, J. Algebra 312, No. 2, 755--772 (2007; Zbl 1170.22008) Full Text: DOI