Results 11 to 20 of about 20,469,654 (240)
Finite Groups Isospectral to Simple Groups
Communications in Mathematics and Statistics, 2022 The spectrum of a finite group is the set of element orders of this group. The main goal of this paper is to survey results concerning recognition of finite simple groups by spectrum, in particular, to list all finite simple groups for which the recognition problem is solved.
Maria A. Grechkoseeva +4 more
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Free-Field Representation of Group Element for Simple Quantum Group [PDF]
, 1994 A representation of the group element (also known as ``universal ${\cal T}$-matrix'') which satisfies $\Delta(g) = g\otimes g$, is given in the form $$ g = \left(\prod_{s=1}^{d_B}\phantom.^>\ {\cal E}_{1/q_{i(s)}}(\chi^{(s)}T_{-i(s)})\right) q^{2\vec\phi\
A. +6 more
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Finite simple groups as expanders [PDF]
Proceedings of the National Academy of Sciences, 2006 We prove that there exist k ∈ ℕ and 0 < ε ∈ ℝ such that every non-abelian finite simple group G , which is not a Suzuki group, has a set of k generators for which the Cayley graph Cay( G ; S ) is an ε-expander.
Kassabov, M, Lubotzky, A, Nikolov, N
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Simple endotrivial modules for quasi-simple groups [PDF]
Journal für die reine und angewandte Mathematik (Crelles Journal), 2013 Abstract We investigate simple endotrivial modules of finite quasi-simple groups and classify them in several important cases. This is motivated by a recent result of Robinson [Bull. Lond. Math. Soc. 43 (2011), 712–716] showing that simple endotrivial modules of most groups come from quasi-simple groups.
Lassueur Caroline +2 more
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On the involution fixity of simple groups [PDF]
Proceedings of the Edinburgh Mathematical Society, 2021 AbstractLet $G$ be a finite permutation group of degree $n$ and let ${\rm ifix}(G)$ be the involution fixity of $G$, which is the maximum number of fixed points of an involution. In this paper, we study the involution fixity of almost simple primitive groups whose socle $T$ is an alternating or sporadic group; our main result classifies the groups of ...
Burness, Timothy C, Covato, Elisa
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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
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Integral group ring of the Suzuki sporadic simple group [PDF]
Publicationes mathematicae (Debrecen), 2008 Using the Luthar-Passi method, we investigate the classical Zassenhaus conjecture for the normalized unit group of the integral group ring of the Suzuki sporadic simple group Suz.
V. Bovdi, A. Konovalov, E. Marcos
semanticscholar +1 more source
Non-simple localizations of finite simple groups [PDF]
Journal of Algebra, 2006 10 ...
Jérôme Scherer +2 more
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The Little Higgs from a Simple Group [PDF]
, 2003 We present a model of electroweak symmetry breaking in which the Higgs boson is a pseudo-Nambu-Goldstone boson. By embedding the standard model SU(2) x U(1) into an SU(4) x U(1) gauge group, one-loop quadratic divergences to the Higgs mass from gauge and
A. Nelson +24 more
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Rapid and Simple Determination of theEscherichia coli Phylogenetic Group
Applied and Environmental Microbiology, 2000 Phylogenetic analysis has shown that Escherichia coliis composed of four main phylogenetic groups (A, B1, B2, and D) and that virulent extra-intestinal strains mainly belong to groups B2 and D.
O. Clermont, S. Bonacorsi, É. Bingen
semanticscholar +1 more source