Results 21 to 30 of about 1,614,438 (324)
Blocks of group algebras are derived simple [PDF]
, 2011 A derived version of Maschke's theorem for finite groups is proved: the derived categories, bounded or unbounded, of all blocks of the group algebra of a finite group are simple, in the sense that they admit no nontrivial recollements.
Liu, Qunhua, Yang, Dong
core +1 more source
Simple biset functors and double Burnside rings [PDF]
, 2012 Let G be a finite group and let k be a field. Our purpose is to investigate the simple modules for the double Burnside ring kB(G,G). It turns out that they are evaluations at G of simple biset functors. For a fixed finite group H, we introduce a suitable
Bouc, Serge +2 more
core +2 more sources
Coprime invariable generation and minimal-exponent groups [PDF]
, 2014 A finite group $G$ is \emph{coprimely-invariably generated} if there exists a set of generators $\{g_1, ..., g_u\}$ of $G$ with the property that the orders $|g_1|, ..., |g_u|$ are pairwise coprime and that for all $x_1, ..., x_u \in G$ the set $\{g_1 ...
Detomi, Eloisa +2 more
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Word maps in finite simple groups [PDF]
Archiv der Mathematik, 2019 5 ...
Cocke, William, Ho, Meng-Che
openaire +2 more sources
Probabilistic Waring problems for finite simple groups [PDF]
Annals of Mathematics, 2018 The probabilistic Waring problem for finite simple groups asks whether every word of the form $w_1w_2$, where $w_1$ and $w_2$ are non-trivial words in disjoint sets of variables, induces almost uniform distribution on finite simple groups with respect to
M. Larsen, A. Shalev, P. Tiep
semanticscholar +1 more source
Simple finite non-Abelian flavor groups [PDF]
Journal of Mathematical Physics, 2007 The recently measured unexpected neutrino mixing patterns have caused a resurgence of interest in the study of finite flavor groups with two- and three-dimensional irreducible representations. This paper details the mathematics of the two finite simple groups with such representations, the icosahedral group A5, a subgroup of SO(3), and PSL2(7), a ...
Luhn, Christoph +2 more
openaire +3 more sources
On Thompson’s conjecture for finite simple groups [PDF]
Communications in Algebra, 2018 Let G be a finite group and N(G) be its set of conjugacy class sizes. We prove that if L is a finite simple non-abelian group and G is a finite group with trivial center such that ...
I. Gorshkov
semanticscholar +1 more source
The structure of blocks with a Klein four defect group [PDF]
, 2011 We prove Erdmann’s conjecture [16] stating that every block with a Klein four defect group has a simple module with trivial source, and deduce from this that Puig’s finiteness conjecture holds for source algebras of blocks with a Klein four defect group.
A. Borel +44 more
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Steinberg-like characters for finite simple groups [PDF]
Journal of group theroy, 2017 Let G be a finite group and, for a prime p, let S be a Sylow p-subgroup of G. A character χ of G is called Sylp{\mathrm{Syl}_{p}}-regular if the restriction of χ to S is the character of the regular representation of S. If, in addition, χ vanishes at all
G. Malle, A. Zalesski
semanticscholar +1 more source
Two remarks on Wall's D2 problem
, 2017 If a finite group $G$ is isomorphic to a subgroup of $SO(3)$, then $G$ has the D2-property. Let $X$ be a finite complex satisfying Wall's D2-conditions.
Hambleton, Ian
core +1 more source