Results 21 to 30 of about 49,400 (294)
Classifying the finite simple groups [PDF]
Bulletin of the American Mathematical Society, 1986 In an earlier survey paper [ibid. 1, 43-199 (1979; Zbl 0414.20009)] the author outlined the steps that led to the classification of finite simple groups. It was estimated, that the classification consisted of about 500 articles with 15.000 journal pages. The new article under review concentrates on the question how the old proof can be improved.
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On the structure of finite groups isospectral to finite simple groups [PDF]
Journal of Group Theory, 2015 Abstract Finite groups are said to be isospectral if they have the same sets of element orders. A finite nonabelian simple group L is said to be almost recognizable by spectrum if every finite group isospectral to L is an almost simple group with socle isomorphic to L.
Andrey V. Vasil'ev +1 more
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Centralizers in simple locally finite groups [PDF]
International Journal of Group Theory, 2013 This is a survey article on centralizers of finitesubgroups in locally finite, simple groups or LFS-groups as wewill call them. We mention some of the open problems aboutcentralizers of subgroups in LFS-groups and applications of theknown information ...
Mahmut Kuzucuoğlu
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Homogenous finitary symmetric groups [PDF]
International Journal of Group Theory, 2015 We characterize strictly diagonal type of embeddings of finitary symmetric groups in terms of cardinality and the characteristic. Namely, we prove the following. Let kappa be an infinite cardinal. If G=underseti=1stackrelinftybigcupG i , where G i =
Otto. H. Kegel +1 more
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Equal-Square Graphs Associated with Finite Groups
Journal of Mathematics, 2022 The graphical representation of finite groups is studied in this paper. For each finite group, a simple graph is associated for which the vertex set contains elements of group such that two distinct vertices x and y are adjacent iff x2=y2.
Shafiq Ur Rehman +3 more
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Non-simple localizations of finite simple groups [PDF]
Journal of Algebra, 2006 10 ...
Jérôme Scherer +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
Saharon Shelah +4 more
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A question of Malinowska on sizes of finite nonabelian simple groups in relation to involution sizes
Comptes Rendus. Mathématique, 2021 Let $I_n(G)$ denote the number of elements of order $n$ in a finite group $G$. Malinowska recently asked “what is the smallest positive integer $k$ such that whenever there exist two nonabelian finite simple groups $S$ and $G$ with prime divisors $p_1,\,\
Anabanti, Chimere Stanley
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Characterization of A5 and PSL(2,7) by sum of elements orders [PDF]
International Journal of Group Theory, 2013 Let $G$ be a finite group. We denote $psi(G)=sum_{gin G}o(g)$ where $o(g)$ denotes the order of $g in G$. Here we show that $psi(A_5)< psi(G)$ for every nonsimple group $G$ of order 60. Also we prove that $psi(PSL(2,7))groups $G$ of order 168.
Seyyed Majid Jafarian Amiri
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Beauville surfaces and finite simple groups [PDF]
Journal für die reine und angewandte Mathematik (Crelles Journal), 2012 A Beauville surface is a rigid complex surface of the form (C1 x C2)/G, where C1 and C2 are non-singular, projective, higher genus curves, and G is a finite group acting freely on the product. Bauer, Catanese, and Grunewald conjectured that every finite simple group G, with the exception of A5, gives rise to such a surface. We prove that this is so for
Shelly Garion +2 more
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