Results 31 to 40 of about 52,060 (313)
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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Strong reality of finite simple groups [PDF]
Siberian Mathematical Journal, 2010 The classification of finite simple strongly real groups is complete. It is easy to see that strong reality for every nonabelian finite simple group is equivalent to the fact that each element can be written as a product of two involutions. We thus obtain a solution to Problem 14.82 from the Kourovka notebook from the classification of finite simple ...
Vdovin, E. P., Gal't, A. A.
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Word maps in finite simple groups [PDF]
Archiv der Mathematik, 2019 5 ...
Cocke, William, Ho, Meng-Che
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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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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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A characterization theorem for alternating groups
AIMS MathematicsIn this paper, we weakened the relevant conditions of order components, and only utilized the even-order components and the orders of centralizers to investigate their impact on the group structure.
Zhangjia Han, Dongyang He
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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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Non-simple localizations of finite simple groups
Journal of Algebra, 2006 10 ...
Rodríguez, José L. +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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