Results 31 to 40 of about 993,639 (182)
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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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
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Infinite products of finite simple groups [PDF]
Transactions of the American Mathematical Society, 1996 We classify the sequences ⟨ S n ∣ n ∈ N ⟩ \langle S_{n} \mid n \in \mathbb {N} \rangle of finite simple nonabelian groups such that ∏ n S
Saxl, J., Shelah, S., Thomas, S.
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On the tree-number of the power graph associated with some finite groups [PDF]
AUT Journal of Mathematics and ComputingGiven a group G, we define the power graph P(G) as follows: the vertices are the elements of G and two vertices x and y are joined by an edge if ⟨x⟩ ⊆ ⟨y⟩ or ⟨y⟩ ⊆ ⟨x⟩.
Sakineh Rahbariyan
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Non-simple localizations of finite simple groups
Journal of Algebra, 2006 10 ...
Rodríguez, José L. +2 more
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Quasirecognition by Prime Graph of the Groups 2D2n(q) Where q < 105
Mathematics, 2018 Let G be a finite group. The prime graph Γ ( G ) of G is defined as follows: The set of vertices of Γ ( G ) is the set of prime divisors of | G | and two distinct vertices p and p ′ are connected in &Gamma ...
Hossein Moradi +2 more
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Finite simple groups and finite primitive permutation groups [PDF]
Bulletin of the Australian Mathematical Society, 1983 The classification of the finite simple groups has had far-reaching consequences for many branches of algebra. This paper is a discussion of several problems about primitive permutation groups which have been solved using the simple group classification.
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On properties of (weakly) small groups
, 2011 A group is small if it has countably many complete $n$-types over the empty set for each natural number n. More generally, a group $G$ is weakly small if it has countably many complete 1-types over every finite subset of G.
Borovik +11 more
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Thin finite simple groups [PDF]
Journal of Algebra, 1976 A group G is of characterstic 2 type if F*(M) = O,(M) for each 2-local subgroup M of G. It seems likely that in the near future the problem of determining the finite simple groups will be reduced to the determination of the characteristic 2 type groups.
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The maximal size of a minimal generating set
Forum of Mathematics, Sigma, 2023 A generating set for a finite group G is minimal if no proper subset generates G, and $m(G)$ denotes the maximal size of a minimal generating set for G. We prove a conjecture of Lucchini, Moscatiello and Spiga by showing that there exist $a,b>
Scott Harper
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