Zobrazeno 1 - 9
of 9
pro vyhledávání: '"20E22, 20J06"'
Autor:
Zavarnitsine, Andrei V.
We find an explicit form of the inverse isomorphism from Shapiro's lemma in terms of inhomogeneous cocycles and apply it to construct special nonsplit coverings of groups with a unique conjugacy class of involutions.
Externí odkaz:
http://arxiv.org/abs/2410.16885
Autor:
Zavarnitsine, Andrei V.
Publikováno v:
Sib. Elect. Math. Reports, 19:1 (2022), 285-291
We classify the nonsplit extensions of elementary abelian $p$-groups by $PSL_2(q)$, with odd $p$ dividing $q-1$, for an irreducible induced action, calculate the relevant low-dimensional cohomology groups, and describe the automorphism groups of such
Externí odkaz:
http://arxiv.org/abs/2209.04591
Publikováno v:
Journal of Group Theory, 2021
We complete the description of automorphism groups of all nonsplit extensions of elementary abelian $2$-groups by $PSL_2(q)$, with $q$ odd, for an irreducible induced action. An application of this result to the theory of $\pi$-submaximal subgroups i
Externí odkaz:
http://arxiv.org/abs/2104.09201
Autor:
Jezernik, Urban, Moravec, Primoz
In parallel to the classical theory of central extensions of groups, we develop a version for extensions that preserve commutativity. It is shown that the Bogomolov multiplier is a universal object parametrising such extensions of a given group. Maxi
Externí odkaz:
http://arxiv.org/abs/1510.01536
Autor:
Quang, Nguyen Tien, Cuc, Pham Thi
In this paper we study equivariant crossed modules in its link with strict graded categorical groups. The resulting Schreier theory for equivariant group extensions of the type of an equivariant crossed module generalizes both the theory of group ext
Externí odkaz:
http://arxiv.org/abs/1302.4573
Autor:
Evans, David M., Pastori, Elisabetta
Publikováno v:
Journal of Algebra 330 (2011), 221-233
For D an infinite set, k>1 and W the set of k-sets from D, there is a natural closed permutation group G_k which is a non-split extension of \mathbb{Z}_2^W by \Sym(D). We classify the closed subgroups of G_k which project onto \Sym(D)$. The question
Externí odkaz:
http://arxiv.org/abs/0909.0366
We complete the description of automorphism groups of all nonsplit extensions of elementary abelian 2-groups by PSL 2 ( q ) \mathrm{PSL}_{2}(q) , with 𝑞 odd, for an irreducible induced action. An application of this result to the theory of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2ca511244d76111fa412d27193e38d24
http://arxiv.org/abs/2104.09201
http://arxiv.org/abs/2104.09201
Autor:
Primoz Moravec, Urban Jezernik
Publikováno v:
Proceedings of the Royal Society of Edinburgh: Section A Mathematics. 148:575-592
In parallel to the classical theory of central extensions of groups, we develop a version for extensions that preserve commutativity. It is shown that the Bogomolov multiplier is a universal object parametrizing such extensions of a given group. Maxi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5e7310d0c63f830cede77d07ea87b460
https://doi.org/10.1017/s0308210517000270
https://doi.org/10.1017/s0308210517000270
Autor:
Nguyen Tien Quang, Pham Thi Cuc
Publikováno v:
Bulletin of the Korean Mathematical Society. 52:1077-1095
In this paper we study equivariant crossed modules in its link with strict graded categorical groups. The resulting Schreier theory for equivariant group extensions of the type of an equivariant crossed module generalizes both the theory of group ext
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cbb5e2cb2eaf9e1563691b87e7fae842
https://doi.org/10.4134/bkms.2015.52.4.1077
https://doi.org/10.4134/bkms.2015.52.4.1077