Boltje, Robert; García, Benjamín Groups with isomorphic fibered Burnside rings. (English) Zbl 07719924 Commun. Algebra 51, No. 10, 4462-4467 (2023). Reviewer: Chen Sheng (Harbin) MSC: 19A22 PDF BibTeX XML Cite \textit{R. Boltje} and \textit{B. García}, Commun. Algebra 51, No. 10, 4462--4467 (2023; Zbl 07719924) Full Text: DOI arXiv
El Kaoutit, Laiachi; Spinosa, Leonardo On Burnside Theory for groupoids. (English) Zbl 07691488 Bull. Math. Soc. Sci. Math. Roum., Nouv. Sér. 66(114), No. 1, 41-87 (2023). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 18B40 20L05 19A22 20C15 20D05 PDF BibTeX XML Cite \textit{L. El Kaoutit} and \textit{L. Spinosa}, Bull. Math. Soc. Sci. Math. Roum., Nouv. Sér. 66(114), No. 1, 41--87 (2023; Zbl 07691488) Full Text: arXiv
Stahlhauer, Michael \(G_\infty\)-ring spectra and Moore spectra for \(\beta\)-rings. (English) Zbl 07679266 Algebr. Geom. Topol. 23, No. 1, 87-153 (2023). Reviewer: David Mehrle (Lexington) MSC: 55P43 55P91 18C15 19A22 55S91 PDF BibTeX XML Cite \textit{M. Stahlhauer}, Algebr. Geom. Topol. 23, No. 1, 87--153 (2023; Zbl 07679266) Full Text: DOI arXiv
Calle, Maxine; Ginnett, Sam The spectrum of the Burnside Tambara functor of a cyclic group. (English) Zbl 1511.19001 J. Pure Appl. Algebra 227, No. 8, Article ID 107344, 23 p. (2023). MSC: 19A22 55P91 18B99 13A15 PDF BibTeX XML Cite \textit{M. Calle} and \textit{S. Ginnett}, J. Pure Appl. Algebra 227, No. 8, Article ID 107344, 23 p. (2023; Zbl 1511.19001) Full Text: DOI arXiv
Takegahara, Yugen Tensor induction for \(M\)-Burnside rings. (English) Zbl 1509.19002 J. Algebra 622, 134-164 (2023). MSC: 19A22 20J06 PDF BibTeX XML Cite \textit{Y. Takegahara}, J. Algebra 622, 134--164 (2023; Zbl 1509.19002) Full Text: DOI
García, Benjamín Species isomorphisms of fibered Burnside rings. (English) Zbl 1507.19002 Commun. Algebra 51, No. 3, 949-957 (2023). MSC: 19A22 20C15 PDF BibTeX XML Cite \textit{B. García}, Commun. Algebra 51, No. 3, 949--957 (2023; Zbl 1507.19002) Full Text: DOI arXiv
Mazza, Nadia On the (crossed) Burnside ring of profinite groups. (English) Zbl 1508.19001 J. Algebra 619, 799-821 (2023). Reviewer: İsmail Alperen Öğüt (Ankara) MSC: 19A22 20E18 20F24 PDF BibTeX XML Cite \textit{N. Mazza}, J. Algebra 619, 799--821 (2023; Zbl 1508.19001) Full Text: DOI arXiv
Romero, Nadia On the essential algebra of the shifted Burnside biset functor. (English) Zbl 07648548 J. Algebra 619, 604-625 (2023). Reviewer: Dmitry Artamonov (Moskva) MSC: 16S99 19A22 16D25 18B99 PDF BibTeX XML Cite \textit{N. Romero}, J. Algebra 619, 604--625 (2023; Zbl 07648548) Full Text: DOI arXiv
Valero-Elizondo, Luis Embeddings and units of Burnside rings. (English) Zbl 1505.19001 Bol. Soc. Mat. Mex., III. Ser. 29, No. 1, Paper No. 12, 9 p. (2023). Reviewer: İsmail Alperen Öğüt (Ankara) MSC: 19A22 20D05 PDF BibTeX XML Cite \textit{L. Valero-Elizondo}, Bol. Soc. Mat. Mex., III. Ser. 29, No. 1, Paper No. 12, 9 p. (2023; Zbl 1505.19001) Full Text: DOI
White, Jacob A. Burnside chromatic polynomials of group-invariant graphs. (English) Zbl 1504.05144 Discuss. Math., Graph Theory 43, No. 1, 55-76 (2023). MSC: 05C31 05C15 05C25 PDF BibTeX XML Cite \textit{J. A. White}, Discuss. Math., Graph Theory 43, No. 1, 55--76 (2023; Zbl 1504.05144) Full Text: DOI
Boltje, Robert; Carman, Rob The orthogonal unit group of the trivial source ring. (English) Zbl 1517.20014 J. Algebra 614, 806-824 (2023). Reviewer: İsmail Alperen Öğüt (Ankara) MSC: 20C20 20C15 19A22 16U60 PDF BibTeX XML Cite \textit{R. Boltje} and \textit{R. Carman}, J. Algebra 614, 806--824 (2023; Zbl 1517.20014) Full Text: DOI arXiv
Reeh, Sune Precht; Schlank, Tomer M.; Stapleton, Nathaniel A formula for \(p\)-completion by way of the Segal conjecture. (English) Zbl 1511.55022 Topology Appl. 322, Article ID 108255, 30 p. (2022). Reviewer: Ran Levi (Aberdeen) MSC: 55R35 55P60 PDF BibTeX XML Cite \textit{S. P. Reeh} et al., Topology Appl. 322, Article ID 108255, 30 p. (2022; Zbl 1511.55022) Full Text: DOI arXiv
Lemoine, Nicolas Prime ideals of the Burnside ring of a saturated fusion system. (English) Zbl 1512.20061 J. Algebra 609, 840-860 (2022). MSC: 20D20 19A22 20J15 PDF BibTeX XML Cite \textit{N. Lemoine}, J. Algebra 609, 840--860 (2022; Zbl 1512.20061) Full Text: DOI arXiv
Balanov, Zalman; Chen, Fulai; Guo, Jing; Krawcewicz, Wieslaw Periodic solutions to reversible second order autonomous systems with commensurate delays. (English) Zbl 07560282 Topol. Methods Nonlinear Anal. 59, No. 2A, 475-498 (2022). MSC: 34K13 34K04 47H11 PDF BibTeX XML Cite \textit{Z. Balanov} et al., Topol. Methods Nonlinear Anal. 59, No. 2A, 475--498 (2022; Zbl 07560282) Full Text: DOI arXiv
Dugger, Daniel Gysin functors, correspondences, and the Grothendieck-Witt category. (English) Zbl 1485.18002 Theory Appl. Categ. 38, 156-213 (2022). Reviewer: Marek Golasiński (Olsztyn) MSC: 18B10 12F10 19L47 PDF BibTeX XML Cite \textit{D. Dugger}, Theory Appl. Categ. 38, 156--213 (2022; Zbl 1485.18002) Full Text: Link
Balanov, Zalman; Hirano, Norimichi; Krawcewicz, Wieslaw; Ye, Xiaoli Existence and spatio-temporal patterns of periodic solutions to second order non-autonomous equivariant delayed systems. (English) Zbl 1494.34153 J. Nonlinear Convex Anal. 22, No. 11, 2377-2404 (2021). Reviewer: Xingchen Yu (Nanjing) MSC: 34K13 34K04 47H11 PDF BibTeX XML Cite \textit{Z. Balanov} et al., J. Nonlinear Convex Anal. 22, No. 11, 2377--2404 (2021; Zbl 1494.34153) Full Text: arXiv Link
McHugh, John Revere On the image of the trivial source ring in the ring of virtual characters of a finite group. (English) Zbl 1482.19001 Pac. J. Math. 315, No. 2, 449-476 (2021). Reviewer: İsmail Alperen Öğüt (Ankara) MSC: 19A22 20C20 PDF BibTeX XML Cite \textit{J. R. McHugh}, Pac. J. Math. 315, No. 2, 449--476 (2021; Zbl 1482.19001) Full Text: DOI arXiv
Ryba, Christopher The structure of the Grothendieck rings of wreath product Deligne categories and their generalisations. (English) Zbl 1492.18020 Int. Math. Res. Not. 2021, No. 16, 12420-12462 (2021). Reviewer: Andrei Marcus (Cluj-Napoca) MSC: 18M20 19A22 18F30 13F35 PDF BibTeX XML Cite \textit{C. Ryba}, Int. Math. Res. Not. 2021, No. 16, 12420--12462 (2021; Zbl 1492.18020) Full Text: DOI arXiv
Kamedulski, Bartosz Product property of equivariant degree under the action of a compact abelian Lie group. (English) Zbl 1484.55012 Bull. Braz. Math. Soc. (N.S.) 52, No. 4, 879-891 (2021). Reviewer: Valerii V. Obukhovskij (Voronezh) MSC: 55P91 55M25 PDF BibTeX XML Cite \textit{B. Kamedulski}, Bull. Braz. Math. Soc. (N.S.) 52, No. 4, 879--891 (2021; Zbl 1484.55012) Full Text: DOI
Balanov, Zalman; Burnett, Joseph; Krawcewicz, Wiesław; Xiao, Huafeng Global bifurcation of periodic solutions in symmetric reversible second order systems with delays. (English) Zbl 1480.34094 Int. J. Bifurcation Chaos Appl. Sci. Eng. 31, No. 12, Article ID 2150180, 23 p. (2021). MSC: 34K18 34K04 34K13 47N20 PDF BibTeX XML Cite \textit{Z. Balanov} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 31, No. 12, Article ID 2150180, 23 p. (2021; Zbl 1480.34094) Full Text: DOI
Boltje, Robert; Yılmaz, Deniz The \(A\)-fibered Burnside ring as \(A\)-fibered biset functor in characteristic zero. (English) Zbl 1475.19001 Algebr. Represent. Theory 24, No. 5, 1359-1385 (2021). Reviewer: Andrei Marcus (Cluj-Napoca) MSC: 19A22 20C15 PDF BibTeX XML Cite \textit{R. Boltje} and \textit{D. Yılmaz}, Algebr. Represent. Theory 24, No. 5, 1359--1385 (2021; Zbl 1475.19001) Full Text: DOI arXiv
Chen, Jialei; Yang, Shilin; Wang, Dingguo Grothendieck rings of a class of Hopf algebras of Kac-Paljutkin type. (English) Zbl 1482.16049 Front. Math. China 16, No. 1, 29-47 (2021). MSC: 16T05 19A22 17B37 PDF BibTeX XML Cite \textit{J. Chen} et al., Front. Math. China 16, No. 1, 29--47 (2021; Zbl 1482.16049) Full Text: DOI
Bouc, Serge A functorial presentation of units of Burnside rings. (English) Zbl 1466.19001 Result. Math. 76, No. 2, Paper No. 58, 25 p. (2021). Reviewer: Nadia Mazza (Lancaster) MSC: 19A22 16U60 20J15 PDF BibTeX XML Cite \textit{S. Bouc}, Result. Math. 76, No. 2, Paper No. 58, 25 p. (2021; Zbl 1466.19001) Full Text: DOI arXiv
Coşkun, Olcay; Seviniş, Mert The fibered Burnside group of a fusion system. (English) Zbl 1467.19002 Int. J. Algebra Comput. 31, No. 3, 453-470 (2021). Reviewer: İsmail Alperen Öğüt (Ankara) MSC: 19A22 20D20 20J15 PDF BibTeX XML Cite \textit{O. Coşkun} and \textit{M. Seviniş}, Int. J. Algebra Comput. 31, No. 3, 453--470 (2021; Zbl 1467.19002) Full Text: DOI
Kreuzer, Martin; Patil, Dilip P. Computational aspects of Burnside rings. II: Important maps. (English) Zbl 1465.19001 Beitr. Algebra Geom. 62, No. 2, 475-494 (2021). Reviewer: İsmail Alperen Öğüt (Ankara) MSC: 19A22 13F99 13P99 PDF BibTeX XML Cite \textit{M. Kreuzer} and \textit{D. P. Patil}, Beitr. Algebra Geom. 62, No. 2, 475--494 (2021; Zbl 1465.19001) Full Text: DOI
Gelvin, Matthew; Yalçın, Ergün Dade groups for finite groups and dimension functions. (English) Zbl 1460.19001 J. Algebra 576, 146-196 (2021). Reviewer: İsmail Alperen Öğüt (Ankara) MSC: 19A22 20C20 57S17 PDF BibTeX XML Cite \textit{M. Gelvin} and \textit{E. Yalçın}, J. Algebra 576, 146--196 (2021; Zbl 1460.19001) Full Text: DOI arXiv
Krauss, Nora The integral double Burnside ring of the symmetric group \(\mathrm{S}_3\). (English) Zbl 1461.19001 Ir. Math. Soc. Bull. 86, 79-101 (2020). Reviewer: İsmail Alperen Öğüt (Ankara) MSC: 19A22 PDF BibTeX XML Cite \textit{N. Krauss}, Ir. Math. Soc. Bull. 86, 79--101 (2020; Zbl 1461.19001) Full Text: arXiv Link
Tang, Shuai The structure of Grothendieck rings of dihedral groups. (Chinese. English summary) Zbl 1463.19001 Acta Math. Sin., Chin. Ser. 63, No. 3, 245-252 (2020). MSC: 19A22 20C15 PDF BibTeX XML Cite \textit{S. Tang}, Acta Math. Sin., Chin. Ser. 63, No. 3, 245--252 (2020; Zbl 1463.19001)
Böhme, Benjamin Idempotent characters and equivariantly multiplicative splittings of \(K\)-theory. (English) Zbl 1453.19008 Bull. Lond. Math. Soc. 52, No. 4, 730-745 (2020). Reviewer: Do Ngoc Diep (Hanoi) MSC: 19L47 19A22 20C15 55P43 55P60 55P91 55S91 PDF BibTeX XML Cite \textit{B. Böhme}, Bull. Lond. Math. Soc. 52, No. 4, 730--745 (2020; Zbl 1453.19008) Full Text: DOI arXiv
Zhao, Ruju; Yuan, Chengtao; Li, Libin The automorphism group of Green algebra of 9-dimensional Taft Hopf algebra. (English) Zbl 1465.16043 Algebra Colloq. 27, No. 4, 767-798 (2020). Reviewer: İsmail Alperen Öğüt (Ankara) MSC: 16W20 19A22 PDF BibTeX XML Cite \textit{R. Zhao} et al., Algebra Colloq. 27, No. 4, 767--798 (2020; Zbl 1465.16043) Full Text: DOI
Oda, Fumihito; Takegahara, Yugen; Yoshida, Tomoyuki Lattice Burnside rings. (English) Zbl 1455.19002 Algebra Univers. 81, No. 4, Paper No. 53, 31 p. (2020). MSC: 19A22 20C05 16U40 16U60 PDF BibTeX XML Cite \textit{F. Oda} et al., Algebra Univers. 81, No. 4, Paper No. 53, 31 p. (2020; Zbl 1455.19002) Full Text: DOI arXiv
Barsotti, Jamison Orthogonal units of the double Burnside ring. (English) Zbl 1464.16033 Algebr. Represent. Theory 23, No. 4, 1683-1705 (2020). Reviewer: Peter Danchev (Sofia) MSC: 16U60 16W10 19A22 PDF BibTeX XML Cite \textit{J. Barsotti}, Algebr. Represent. Theory 23, No. 4, 1683--1705 (2020; Zbl 1464.16033) Full Text: DOI arXiv
Calle, Maxine; Ginnett, Sam [Chen, Harry; Chen, Xinling] The Tambara structure of the trace ideal for cyclic extensions. With an appendix by Harry Chen and Xinling Chen. (English) Zbl 1479.19001 J. Algebra 560, 114-143 (2020). Reviewer: Adam Chapman (Tel Hai) MSC: 19A22 18G99 20J05 55P91 PDF BibTeX XML Cite \textit{M. Calle} and \textit{S. Ginnett}, J. Algebra 560, 114--143 (2020; Zbl 1479.19001) Full Text: DOI arXiv
Raggi-Cárdenas, Alberto G.; Valero-Elizondo, Luis Idempotents in \(F_+(G)\). (English) Zbl 1444.19001 Arch. Math. 114, No. 3, 241-246 (2020). Reviewer: Andrei Marcus (Cluj-Napoca) MSC: 19A22 PDF BibTeX XML Cite \textit{A. G. Raggi-Cárdenas} and \textit{L. Valero-Elizondo}, Arch. Math. 114, No. 3, 241--246 (2020; Zbl 1444.19001) Full Text: DOI
El Kaoutit, Laiachi; Spinosa, Leonardo Categorified groupoid-sets and their Burnside ring. (English) Zbl 1431.18005 Turk. J. Math. 43, No. 5, 2069-2096 (2019). Reviewer: Peeter Normak (Tallinn) MSC: 18D20 18D15 19A22 20L05 18B40 PDF BibTeX XML Cite \textit{L. El Kaoutit} and \textit{L. Spinosa}, Turk. J. Math. 43, No. 5, 2069--2096 (2019; Zbl 1431.18005) Full Text: arXiv Link
Bouc, Serge Relative \(B\)-groups. (English) Zbl 1455.19001 Doc. Math. 24, 2431-2462 (2019). Reviewer: Daniel Juan Pineda (Michoacán) MSC: 19A22 18B99 20J15 PDF BibTeX XML Cite \textit{S. Bouc}, Doc. Math. 24, 2431--2462 (2019; Zbl 1455.19001) Full Text: DOI arXiv
Su, Dong; Yang, Shilin Representations of the small nonstandard quantum groups \(\bar{X}_q (A_1)\). (English) Zbl 1468.16047 Commun. Algebra 47, No. 12, 5039-5062 (2019). MSC: 16T20 19A22 17B37 PDF BibTeX XML Cite \textit{D. Su} and \textit{S. Yang}, Commun. Algebra 47, No. 12, 5039--5062 (2019; Zbl 1468.16047) Full Text: DOI
Harrington, Benen Cohomology of Burnside rings. (English) Zbl 1441.19004 J. Algebra 539, 24-36 (2019). MSC: 19A22 PDF BibTeX XML Cite \textit{B. Harrington}, J. Algebra 539, 24--36 (2019; Zbl 1441.19004) Full Text: DOI arXiv
Takegahara, Yugen Multiplicative induction and units for the ring of monomial representations. (English) Zbl 1423.19001 Adv. Math. 355, Article ID 106768, 50 p. (2019). Reviewer: Wilberd van der Kallen (Utrecht) MSC: 19A22 20J06 16U60 PDF BibTeX XML Cite \textit{Y. Takegahara}, Adv. Math. 355, Article ID 106768, 50 p. (2019; Zbl 1423.19001) Full Text: DOI Link
Barker, Laurence An inversion formula for the primitive idempotents of the trivial source algebra. (English) Zbl 1468.20019 J. Pure Appl. Algebra 223, No. 12, 5444-5454 (2019). MSC: 20C20 19A22 PDF BibTeX XML Cite \textit{L. Barker}, J. Pure Appl. Algebra 223, No. 12, 5444--5454 (2019; Zbl 1468.20019) Full Text: DOI arXiv Link
Oda, Fumihito; Wakatake, Masahiro The unit group of a partial Burnside ring of a reducible Coxeter group of type A. (English) Zbl 1451.19001 Hokkaido Math. J. 48, No. 2, 345-356 (2019). MSC: 19A22 20F55 PDF BibTeX XML Cite \textit{F. Oda} and \textit{M. Wakatake}, Hokkaido Math. J. 48, No. 2, 345--356 (2019; Zbl 1451.19001) Full Text: DOI Euclid
Rognerud, Baptiste Around evaluations of biset functors. (Évaluations de foncteurs à bi-ensembles.) (English. French summary) Zbl 1420.19002 Ann. Inst. Fourier 69, No. 2, 805-843 (2019). Reviewer: Andrei Marcus (Cluj-Napoca) MSC: 19A22 20C99 16G10 18E10 PDF BibTeX XML Cite \textit{B. Rognerud}, Ann. Inst. Fourier 69, No. 2, 805--843 (2019; Zbl 1420.19002) Full Text: DOI arXiv
Bartłomiejczyk, Piotr; Kamedulski, Bartosz; Nowak-Przygodzki, Piotr Degree product formula in the case of a finite group action. (English) Zbl 1415.55005 New York J. Math. 25, 362-373 (2019). Reviewer: Zdzisław Dzedzej (Gdansk) MSC: 55P91 54C35 PDF BibTeX XML Cite \textit{P. Bartłomiejczyk} et al., New York J. Math. 25, 362--373 (2019; Zbl 1415.55005) Full Text: arXiv Link
Böhme, Benjamin Multiplicativity of the idempotent splittings of the Burnside ring and the \(G\)-sphere spectrum. (English) Zbl 1432.55025 Adv. Math. 347, 904-939 (2019). Reviewer: David Barnes (Belfast) MSC: 55P91 55P43 55Q91 55S91 19A22 PDF BibTeX XML Cite \textit{B. Böhme}, Adv. Math. 347, 904--939 (2019; Zbl 1432.55025) Full Text: DOI arXiv
Coşkun, Olcay; Yılmaz, Deniz Fibered \(p\)-biset functor structure of the fibered Burnside rings. (English) Zbl 1411.19001 Algebr. Represent. Theory 22, No. 1, 21-41 (2019). Reviewer: Andrei Marcus (Cluj-Napoca) MSC: 19A22 16E20 20C15 20C20 PDF BibTeX XML Cite \textit{O. Coşkun} and \textit{D. Yılmaz}, Algebr. Represent. Theory 22, No. 1, 21--41 (2019; Zbl 1411.19001) Full Text: DOI arXiv
Bouc, Serge; Mutlu, Hatice Monomial \(G\)-posets and their Lefschetz invariants. (English) Zbl 1467.06002 J. Algebra 527, 399-436 (2019). MSC: 06A11 19A22 20C05 20J15 PDF BibTeX XML Cite \textit{S. Bouc} and \textit{H. Mutlu}, J. Algebra 527, 399--436 (2019; Zbl 1467.06002) Full Text: DOI arXiv
Bahran, Cihan Categorifying induction formulae via divergent series. (English) Zbl 1410.19001 J. Algebra 527, 306-336 (2019). Reviewer: Wilberd van der Kallen (Utrecht) MSC: 19A22 20C05 20J06 55R35 PDF BibTeX XML Cite \textit{C. Bahran}, J. Algebra 527, 306--336 (2019; Zbl 1410.19001) Full Text: DOI arXiv
Burciu, Sebastian On monoidal group actions on tensor categories and their Green functors. (English) Zbl 1441.19003 Monatsh. Math. 188, No. 3, 431-459 (2019). MSC: 19A22 16T20 18M05 PDF BibTeX XML Cite \textit{S. Burciu}, Monatsh. Math. 188, No. 3, 431--459 (2019; Zbl 1441.19003) Full Text: DOI
Boltje, Robert; Raggi-Cárdenas, Gerardo; Valero-Elizondo, Luis The \(-_{+}\) and \(-^{+}\) constructions for biset functors. (English) Zbl 1430.19001 J. Algebra 523, 241-273 (2019). Reviewer: Baptiste Rognerud (Paris) MSC: 19A22 20C15 20C20 PDF BibTeX XML Cite \textit{R. Boltje} et al., J. Algebra 523, 241--273 (2019; Zbl 1430.19001) Full Text: DOI arXiv
Chang, Shan Augmentation quotients for Burnside rings of some finite \({p}\)-groups. (English) Zbl 1403.16023 Proc. Indian Acad. Sci., Math. Sci. 129, No. 1, Paper No. 9, 9 p. (2019). MSC: 16S34 20C05 PDF BibTeX XML Cite \textit{S. Chang}, Proc. Indian Acad. Sci., Math. Sci. 129, No. 1, Paper No. 9, 9 p. (2019; Zbl 1403.16023) Full Text: DOI arXiv
García, Benjamín On the ideals and essential algebras of shifted functors of linear representations. (English) Zbl 1439.19001 J. Algebra 521, 452-480 (2019). Reviewer: Christopher P. Bendel (Menomonie) MSC: 19A22 20C15 PDF BibTeX XML Cite \textit{B. García}, J. Algebra 521, 452--480 (2019; Zbl 1439.19001) Full Text: DOI arXiv
Tang, Gaohua; Li, Yu; Wu, Yansheng The structure of powers of the augmentation ideal and their quotients for the Burnside ring of a generalized quaternion group. (English) Zbl 1424.19001 Adv. Math., Beijing 47, No. 3, 424-432 (2018). MSC: 19A22 20E34 PDF BibTeX XML Cite \textit{G. Tang} et al., Adv. Math., Beijing 47, No. 3, 424--432 (2018; Zbl 1424.19001) Full Text: DOI
Kayacan, Selçuk Dominating sets in intersection graphs of finite groups. (English) Zbl 1483.20043 Rocky Mt. J. Math. 48, No. 7, 2311-2335 (2018). MSC: 20D30 20D60 05C25 05C69 20C05 55U10 PDF BibTeX XML Cite \textit{S. Kayacan}, Rocky Mt. J. Math. 48, No. 7, 2311--2335 (2018; Zbl 1483.20043) Full Text: DOI arXiv Euclid
Ebeling, Wolfgang; Gusein-Zade, Sabir M. Enhanced equivariant Saito duality. (English) Zbl 1423.14343 J. Algebra Appl. 17, No. 10, Article ID 1850181, 13 p. (2018). Reviewer: Aleksandr G. Aleksandrov (Moskva) MSC: 14R20 19A22 14J33 57R18 58K10 PDF BibTeX XML Cite \textit{W. Ebeling} and \textit{S. M. Gusein-Zade}, J. Algebra Appl. 17, No. 10, Article ID 1850181, 13 p. (2018; Zbl 1423.14343) Full Text: DOI arXiv
Rumynin, Dmitriy; Wendland, Alex 2-groups, 2-characters, and Burnside rings. (English) Zbl 1407.18006 Adv. Math. 338, 196-236 (2018). Reviewer: Andrei Marcus (Cluj-Napoca) MSC: 18D05 19A22 PDF BibTeX XML Cite \textit{D. Rumynin} and \textit{A. Wendland}, Adv. Math. 338, 196--236 (2018; Zbl 1407.18006) Full Text: DOI arXiv Link
Yuan, Chengtao; Zhao, Ruju; Li, Libin Irreducible \(\mathbb{Z}_{+}\)-modules of near-group fusion ring \(K(\mathbb{Z}_{3}, 3)\). (English) Zbl 1396.16041 Front. Math. China 13, No. 4, 947-966 (2018). MSC: 16Y30 13C05 16W20 19A22 PDF BibTeX XML Cite \textit{C. Yuan} et al., Front. Math. China 13, No. 4, 947--966 (2018; Zbl 1396.16041) Full Text: DOI
Xu, Xingzhong; Zhang, Jiping On Bouc’s and Thévenaz’s conjectures on \(B\)-groups. (English) Zbl 1433.19002 J. Algebra 511, 155-163 (2018). Reviewer: L. N. Vaserstein (University Park) MSC: 19A22 18B99 20J15 PDF BibTeX XML Cite \textit{X. Xu} and \textit{J. Zhang}, J. Algebra 511, 155--163 (2018; Zbl 1433.19002) Full Text: DOI
Oda, Fumihito; Takegahara, Yugen; Yoshida, Tomoyuki Lefschetz invariants and Young characters for representations of the hyperoctahedral groups. (English) Zbl 1403.19001 J. Algebra 512, 1-19 (2018). Reviewer: L. N. Vaserstein (University Park) MSC: 19A22 20B30 20B35 20C15 20C30 PDF BibTeX XML Cite \textit{F. Oda} et al., J. Algebra 512, 1--19 (2018; Zbl 1403.19001) Full Text: DOI Link
Morimoto, Masaharu; Sugimura, Masafumi Cokernels of homomorphisms from Burnside rings to inverse limits. II: \(G=C_{p^m}\times C_{p^n}\). (English) Zbl 1400.19001 Kyushu J. Math. 72, No. 1, 95-105 (2018). Reviewer: Burkhard Külshammer (Jena) MSC: 19A22 57S17 PDF BibTeX XML Cite \textit{M. Morimoto} and \textit{M. Sugimura}, Kyushu J. Math. 72, No. 1, 95--105 (2018; Zbl 1400.19001) Full Text: DOI
Yuan, Chengtao; Yao, Hua; Li, Libin Nilpotent elements in Green rings of a class of pointed tensor categories of finite type. (English) Zbl 1391.16018 Bull. Malays. Math. Sci. Soc. (2) 41, No. 3, 1495-1506 (2018). MSC: 16N20 19A22 PDF BibTeX XML Cite \textit{C. Yuan} et al., Bull. Malays. Math. Sci. Soc. (2) 41, No. 3, 1495--1506 (2018; Zbl 1391.16018) Full Text: DOI
Hara, Yasuhiro; Morimoto, Masaharu The inverse limit of the Burnside ring for a family of subgroups of a finite group. (English) Zbl 1401.19001 Hokkaido Math. J. 47, No. 2, 427-444 (2018). Reviewer: Andrei Marcus (Cluj-Napoca) MSC: 19A22 57S17 PDF BibTeX XML Cite \textit{Y. Hara} and \textit{M. Morimoto}, Hokkaido Math. J. 47, No. 2, 427--444 (2018; Zbl 1401.19001) Full Text: DOI Euclid
Yoshida, Tomoyuki; Oda, Fumihito; Takegahara, Yugen Axiomatic theory of Burnside rings. I. (English) Zbl 1401.19002 J. Algebra 505, 339-382 (2018). MSC: 19A22 20B35 20C15 20C30 18F25 PDF BibTeX XML Cite \textit{T. Yoshida} et al., J. Algebra 505, 339--382 (2018; Zbl 1401.19002) Full Text: DOI
Barsotti, Jamison On the unit group of the Burnside ring as a biset functor for some solvable groups. (English) Zbl 1420.16025 J. Algebra 508, 219-255 (2018). MSC: 16U60 19A22 20C15 20D10 PDF BibTeX XML Cite \textit{J. Barsotti}, J. Algebra 508, 219--255 (2018; Zbl 1420.16025) Full Text: DOI arXiv Link
Huang, Min; Li, Fang; Yang, Yichao Representation and derived representation rings of Nakayama truncated algebras and a viewpoint under monoidal categories. (English) Zbl 1393.19001 Asian J. Math. 22, No. 1, 41-74 (2018). Reviewer: Paolo Saracco (Bruxelles) MSC: 19A22 16T05 18D10 PDF BibTeX XML Cite \textit{M. Huang} et al., Asian J. Math. 22, No. 1, 41--74 (2018; Zbl 1393.19001) Full Text: DOI
Masterson, Brendan; Pfeiffer, Götz On the table of marks of a direct product of finite groups. (English) Zbl 1415.20007 J. Algebra 499, 610-644 (2018). Reviewer: Aurelien Djament (Villeneuve d’Ascq)) MSC: 20C40 19A22 20D30 20D40 PDF BibTeX XML Cite \textit{B. Masterson} and \textit{G. Pfeiffer}, J. Algebra 499, 610--644 (2018; Zbl 1415.20007) Full Text: DOI arXiv Link
Erdal, Mehmet Akif; Ünlü, Özgün Semigroup actions on sets and the Burnside ring. (English) Zbl 1409.16033 Appl. Categ. Struct. 26, No. 1, 7-28 (2018). MSC: 16W22 20M20 20M35 55U35 19A22 PDF BibTeX XML Cite \textit{M. A. Erdal} and \textit{Ö. Ünlü}, Appl. Categ. Struct. 26, No. 1, 7--28 (2018; Zbl 1409.16033) Full Text: DOI arXiv Link
Fritzsche, Tim The representation type of the character ring. (English) Zbl 1391.19001 Int. Electron. J. Algebra 23, 47-114 (2018). Reviewer: Andrei Marcus (Cluj-Napoca) (MR3755272) MSC: 19A22 16G30 16G60 20C15 20C99 PDF BibTeX XML Cite \textit{T. Fritzsche}, Int. Electron. J. Algebra 23, 47--114 (2018; Zbl 1391.19001) Full Text: DOI
Tounkara, Ibrahima The ideals of the slice Burnside \(p\)-biset functor. (English) Zbl 1386.18002 J. Algebra 495, 81-113 (2018). Reviewer: Wilberd van der Kallen (Utrecht) MSC: 18A25 19A22 20J15 PDF BibTeX XML Cite \textit{I. Tounkara}, J. Algebra 495, 81--113 (2018; Zbl 1386.18002) Full Text: DOI arXiv
Krawcewicz, Wieslaw; Wu, Hao-pin; Yu, Shi Periodic solutions in reversible second order autonomous systems with symmetries. (English) Zbl 1470.34119 J. Nonlinear Convex Anal. 18, No. 8, 1393-1419 (2017). MSC: 34C25 PDF BibTeX XML Cite \textit{W. Krawcewicz} et al., J. Nonlinear Convex Anal. 18, No. 8, 1393--1419 (2017; Zbl 1470.34119) Full Text: Link
Wen, Ya’nan; Chang, Shan Augmentation quotients for Burnside rings of some generalized dihedral groups. (Chinese. English summary) Zbl 1424.16052 J. Hefei Univ. Technol., Nat. Sci. 40, No. 12, 1719-1724 (2017). MSC: 16S34 20C05 PDF BibTeX XML Cite \textit{Y. Wen} and \textit{S. Chang}, J. Hefei Univ. Technol., Nat. Sci. 40, No. 12, 1719--1724 (2017; Zbl 1424.16052) Full Text: DOI
Wu, Haibo; Tang, Guoping The structure of powers of the augmentation ideal and their quotients for the Burnside ring of a dihedral group. (English) Zbl 1389.19001 Adv. Math., Beijing 46, No. 3, 380-386 (2017). MSC: 19A22 20K01 PDF BibTeX XML Cite \textit{H. Wu} and \textit{G. Tang}, Adv. Math., Beijing 46, No. 3, 380--386 (2017; Zbl 1389.19001)
Kreuzer, Martin; Patil, Dilip P. Computational aspects of Burnside rings. I: The ring structure. (English) Zbl 1390.19001 Beitr. Algebra Geom. 58, No. 3, 427-452 (2017). Reviewer: Chen Sheng (Harbin) MSC: 19A22 13F99 13P99 20C40 PDF BibTeX XML Cite \textit{M. Kreuzer} and \textit{D. P. Patil}, Beitr. Algebra Geom. 58, No. 3, 427--452 (2017; Zbl 1390.19001) Full Text: DOI
Ebeling, Wolfgang Homological mirror symmetry for singularities. (English) Zbl 1369.14053 Krause, Henning (ed.) et al., Representation theory – Current trends and perspectives. In part based on talks given at the last joint meeting of the priority program in Bad Honnef, Germany, in March 2015. Zürich: European Mathematical Society (EMS) (ISBN 978-3-03719-171-2/hbk; 978-3-03719-671-7/ebook). EMS Series of Congress Reports, 75-107 (2017). MSC: 14J33 14B05 53D37 14L30 32S35 32S40 16G20 19A22 PDF BibTeX XML Cite \textit{W. Ebeling}, in: Representation theory -- Current trends and perspectives. In part based on talks given at the last joint meeting of the priority program in Bad Honnef, Germany, in March 2015. Zürich: European Mathematical Society (EMS). 75--107 (2017; Zbl 1369.14053) Full Text: arXiv
Bartel, Alex; Spencer, Matthew A note on Green functors with inflation. (English) Zbl 1369.19002 J. Algebra 483, 230-244 (2017). Reviewer: Andrei Marcus (Cluj-Napoca) MSC: 19A22 20B05 20B10 20C15 20C20 PDF BibTeX XML Cite \textit{A. Bartel} and \textit{M. Spencer}, J. Algebra 483, 230--244 (2017; Zbl 1369.19002) Full Text: DOI arXiv
Morimoto, Masaharu Cokernels of homomorphisms from Burnside rings to inverse limits. (English) Zbl 1453.19001 Can. Math. Bull. 60, No. 1, 165-172 (2017). MSC: 19A22 57S17 20J15 PDF BibTeX XML Cite \textit{M. Morimoto}, Can. Math. Bull. 60, No. 1, 165--172 (2017; Zbl 1453.19001) Full Text: DOI
Coşkun, Olcay The Dade group of Mackey functors for \(p\)-groups. (English) Zbl 1359.20008 J. Algebra 470, 172-196 (2017). Reviewer: Burkhard Külshammer (Jena) MSC: 20C20 19A22 20D15 PDF BibTeX XML Cite \textit{O. Coşkun}, J. Algebra 470, 172--196 (2017; Zbl 1359.20008) Full Text: DOI arXiv
Morimoto, Masaharu Direct limits and inverse limits of Mackey functors. (English) Zbl 1446.19002 J. Algebra 470, 68-76 (2017). MSC: 19A22 57S17 20J15 PDF BibTeX XML Cite \textit{M. Morimoto}, J. Algebra 470, 68--76 (2017; Zbl 1446.19002) Full Text: DOI
Grigoryan, Artur A remark on group rings of periodic groups. (English) Zbl 1454.20006 Int. J. Group Theory 5, No. 4, 23-25 (2016). MSC: 20C07 16S34 20F50 PDF BibTeX XML Cite \textit{A. Grigoryan}, Int. J. Group Theory 5, No. 4, 23--25 (2016; Zbl 1454.20006) Full Text: DOI
Gusein-Zade, S. M.; Luengo, I.; Melle-Hernández, A. Equivariant versions of higher order orbifold Euler characteristics. (English) Zbl 1382.55004 Mosc. Math. J. 16, No. 4, 751-765 (2016). Reviewer: Alexander Schmeding (Berlin) MSC: 55M35 32Q55 19A22 PDF BibTeX XML Cite \textit{S. M. Gusein-Zade} et al., Mosc. Math. J. 16, No. 4, 751--765 (2016; Zbl 1382.55004) Full Text: arXiv Link
Khadija, Azi; Hamraoui, Hinda The representation ring of \(\mathrm{SL}_d\). (English) Zbl 1391.20029 Gulf J. Math. 4, No. 4, 48-53 (2016). MSC: 20G05 19A22 PDF BibTeX XML Cite \textit{A. Khadija} and \textit{H. Hamraoui}, Gulf J. Math. 4, No. 4, 48--53 (2016; Zbl 1391.20029) Full Text: Link
Chang, Shan Augmentation quotients for Burnside rings of generalized dihedral groups. (English) Zbl 1389.16039 Czech. Math. J. 66, No. 4, 1165-1175 (2016). MSC: 16S34 20C05 19A22 PDF BibTeX XML Cite \textit{S. Chang}, Czech. Math. J. 66, No. 4, 1165--1175 (2016; Zbl 1389.16039) Full Text: DOI Link
Jia, Tingting; Zhao, Ruju; Li, Libin Automorphism group of Green ring of Sweedler Hopf algebra. (English) Zbl 1372.16038 Front. Math. China 11, No. 4, 921-932 (2016). MSC: 16T05 16W20 19A22 PDF BibTeX XML Cite \textit{T. Jia} et al., Front. Math. China 11, No. 4, 921--932 (2016; Zbl 1372.16038) Full Text: DOI
Rojas-Echenique, Ricardo G. Injectivity and surjectivity of the Dress map. (English) Zbl 1401.11081 J. Pure Appl. Algebra 220, No. 12, 3816-3820 (2016). Reviewer: Detlev Hoffmann (Dortmund) MSC: 11E81 19A22 12F10 14F42 19G99 55P91 PDF BibTeX XML Cite \textit{R. G. Rojas-Echenique}, J. Pure Appl. Algebra 220, No. 12, 3816--3820 (2016; Zbl 1401.11081) Full Text: DOI arXiv
Oda, Fumihito; Takegahara, Yugen; Yoshida, Tomoyuki The units of a partial Burnside ring relative to the Young subgroups of a symmetric group. (English) Zbl 1348.19001 J. Algebra 460, 370-379 (2016). Reviewer: Chen Sheng (Harbin) MSC: 19A22 20B35 20C15 20C30 PDF BibTeX XML Cite \textit{F. Oda} et al., J. Algebra 460, 370--379 (2016; Zbl 1348.19001) Full Text: DOI
Fritzsche, Tim The unit group of the character ring. (English) Zbl 1346.19001 Commun. Algebra 44, No. 1, 303-309 (2016). Reviewer: Andrei Marcus (Cluj-Napoca) MSC: 19A22 20C15 20C05 16U60 06B05 PDF BibTeX XML Cite \textit{T. Fritzsche}, Commun. Algebra 44, No. 1, 303--309 (2016; Zbl 1346.19001) Full Text: DOI
Miguel, C. A Menon-type identity in residually finite Dedekind domains. (English) Zbl 1378.11014 J. Number Theory 164, 43-51 (2016). Reviewer: Pentti Haukkanen (Tampere) MSC: 11A25 20D99 13F05 PDF BibTeX XML Cite \textit{C. Miguel}, J. Number Theory 164, 43--51 (2016; Zbl 1378.11014) Full Text: DOI
Huang, Hua-Lin; Yang, Yuping The Green rings of minimal Hopf quivers. (English) Zbl 1333.19002 Proc. Edinb. Math. Soc., II. Ser. 59, No. 1, 107-141 (2016). Reviewer: Liu Gongxiang (Nanjing) MSC: 19A22 18D10 16G20 PDF BibTeX XML Cite \textit{H.-L. Huang} and \textit{Y. Yang}, Proc. Edinb. Math. Soc., II. Ser. 59, No. 1, 107--141 (2016; Zbl 1333.19002) Full Text: DOI arXiv
Reeh, Sune Precht Transfer and characteristic idempotents for saturated fusion systems. (English) Zbl 1336.19001 Adv. Math. 289, 161-211 (2016). Reviewer: Andrei Marcus (Cluj-Napoca) MSC: 19A22 20C05 20C15 PDF BibTeX XML Cite \textit{S. P. Reeh}, Adv. Math. 289, 161--211 (2016; Zbl 1336.19001) Full Text: DOI arXiv
Barker, Laurence Tornehave morphisms. III: The reduced tornehave morphism and the Burnside unit functor. (English) Zbl 1333.19001 J. Algebra 446, 19-33 (2016). Reviewer: Burkhard Külshammer (Jena) MSC: 19A22 20C15 PDF BibTeX XML Cite \textit{L. Barker}, J. Algebra 446, 19--33 (2016; Zbl 1333.19001) Full Text: DOI
Zibrowius, Marcus Symmetric representation rings are \(\lambda\)-rings. (English) Zbl 1346.19005 New York J. Math. 21, 1055-1092 (2015). Reviewer: Aurelien Djament (Nantes) MSC: 19G12 20G05 13F99 14L15 19A22 PDF BibTeX XML Cite \textit{M. Zibrowius}, New York J. Math. 21, 1055--1092 (2015; Zbl 1346.19005) Full Text: arXiv EMIS
Bartel, Alex; Dokchitser, Tim Brauer relations in finite groups. (English) Zbl 1331.19002 J. Eur. Math. Soc. (JEMS) 17, No. 10, 2473-2512 (2015). Reviewer: Andrei Marcus (Cluj-Napoca) MSC: 19A22 20C05 20C15 PDF BibTeX XML Cite \textit{A. Bartel} and \textit{T. Dokchitser}, J. Eur. Math. Soc. (JEMS) 17, No. 10, 2473--2512 (2015; Zbl 1331.19002) Full Text: DOI arXiv
Gusein-Zade, S. M.; Luengo, I.; Melle-Hernández, A. On an equivariant version of the zeta function of a transformation. (English) Zbl 1325.32030 Arnold Math. J. 1, No. 2, 127-140 (2015). Reviewer: Christodor-Paul Ionescu (Bucureşti) MSC: 32S05 32S50 57R91 58K10 PDF BibTeX XML Cite \textit{S. M. Gusein-Zade} et al., Arnold Math. J. 1, No. 2, 127--140 (2015; Zbl 1325.32030) Full Text: DOI arXiv
Ebeling, Wolfgang; Gusein-Zade, Sabir M. Equivariant indices of vector fields and 1-forms. (English) Zbl 1336.14007 Eur. J. Math. 1, No. 2, 286-301 (2015). Reviewer: Aleksandr G. Aleksandrov (Moskva) MSC: 14B05 58K45 58A10 58E40 19A22 PDF BibTeX XML Cite \textit{W. Ebeling} and \textit{S. M. Gusein-Zade}, Eur. J. Math. 1, No. 2, 286--301 (2015; Zbl 1336.14007) Full Text: DOI arXiv
Shult, Ernest; Surowski, David Algebra. A teaching and source book. (English) Zbl 1346.00003 Cham: Springer (ISBN 978-3-319-19733-3/pbk; 978-3-319-19734-0/ebook). xxii, 539 p. (2015). Reviewer: Mihai Cipu (Bucureşti) MSC: 00A05 12-01 13-01 20-01 PDF BibTeX XML Cite \textit{E. Shult} and \textit{D. Surowski}, Algebra. A teaching and source book. Cham: Springer (2015; Zbl 1346.00003) Full Text: DOI
Idei, Hokuto; Oda, Fumihito The table of marks, the Kostka matrix, and the character table of the symmetric group. (English) Zbl 1322.19001 J. Algebra 429, 318-323 (2015). MSC: 19A22 20C30 05E10 PDF BibTeX XML Cite \textit{H. Idei} and \textit{F. Oda}, J. Algebra 429, 318--323 (2015; Zbl 1322.19001) Full Text: DOI
Rognerud, Baptiste Trace maps for Mackey algebras. (English) Zbl 1318.19002 J. Algebra 426, 288-312 (2015). Reviewer: Andrei Marcus (Cluj-Napoca) MSC: 19A22 20C05 20C20 18D10 16W99 PDF BibTeX XML Cite \textit{B. Rognerud}, J. Algebra 426, 288--312 (2015; Zbl 1318.19002) Full Text: DOI arXiv
Gelvin, Matthew; Reeh, Sune Precht; Yalçın, Ergün On the basis of the Burnside ring of a fusion system. (English) Zbl 1329.19001 J. Algebra 423, 767-797 (2015). Reviewer: Andrei Marcus (Cluj-Napoca) MSC: 19A22 20C20 PDF BibTeX XML Cite \textit{M. Gelvin} et al., J. Algebra 423, 767--797 (2015; Zbl 1329.19001) Full Text: DOI arXiv
Boltje, Robert; Perepelitsky, Philipp Orthogonal units of the bifree double Burnside ring. (English) Zbl 1318.19001 J. Pure Appl. Algebra 219, No. 1, 47-58 (2015). Reviewer: Andrei Marcus (Cluj-Napoca) MSC: 19A22 20C20 PDF BibTeX XML Cite \textit{R. Boltje} and \textit{P. Perepelitsky}, J. Pure Appl. Algebra 219, No. 1, 47--58 (2015; Zbl 1318.19001) Full Text: DOI arXiv
Boltje, Robert; Külshammer, Burkhard Central idempotents of the bifree and left-free double Burnside ring. (English) Zbl 1321.19002 Isr. J. Math. 202, 161-193 (2014). Reviewer: Stratos Prassidis (Karlovassi) MSC: 19A22 20C15 PDF BibTeX XML Cite \textit{R. Boltje} and \textit{B. Külshammer}, Isr. J. Math. 202, 161--193 (2014; Zbl 1321.19002) Full Text: DOI arXiv
Guillot, Pierre; Mináč, Ján Milnor \(K\)-theory and the graded representation ring. (English) Zbl 1345.12005 J. \(K\)-Theory 13, No. 3, 447-480 (2014). Reviewer: Thong Nguyen Quang Do (Besançon) MSC: 12G05 19A22 19E20 19L10 19D45 PDF BibTeX XML Cite \textit{P. Guillot} and \textit{J. Mináč}, J. \(K\)-Theory 13, No. 3, 447--480 (2014; Zbl 1345.12005) Full Text: DOI arXiv