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On Shunkov Groups Saturated with Finite Groups
Известия Иркутского государственного университета: Серия "Математика", 2018 The structure of the group consisting of elements of finite order depends to a large extent on the structure of the finite subgroups of the group under consideration. One of the effective conditions for investigating an infinite group containing elements
A.A. Shlepkin
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Finite Groups as Isometry Groups [PDF]
Transactions of the American Mathematical Society, 1976 We show that given any finite group G of cardinality k + 1 k + 1 , there is a Riemannian sphere S k − 1 {S^{k - 1}} (imbeddable isometrically as a hypersurface in R
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Quotient Groups of Finite Groups [PDF]
Proceedings of the American Mathematical Society, 1984 Assume H H and H 0 {H_0} are subgroups of the finite group G G with H 0 ⧋ H H_0 \triangleubar H .
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On the Connectivity of Proper Power Graphs of Finite Groups [PDF]
, 2014 We study the connectivity of proper power graphs of some family of finite groups including nilpotent groups, groups with a nontrivial partition, and symmetric and alternating groups.
Alireza Doostabadi +1 more
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Parameters of the coprime graph of a group [PDF]
International Journal of Group Theory, 2021 There are many different graphs one can associate to a group. Some examples are the well-known Cayley graph, the zero divisor graph (of a ring), the power graph, and the recently introduced coprime graph of a group.
Jessie Hamm, Alan Way
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Commuting probabilities of finite groups [PDF]
, 2014 The commuting probability of a finite group is defined to be the probability that two randomly chosen group elements commute. Let P⊂(0,1] be the set of commuting probabilities of all finite groups.
Sean Eberhard
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Neutrosophic Graphs of Finite Groups [PDF]
Neutrosophic Sets and Systems, 2017 Most of the real world problems in the fields of philosophy, physics, statistics, finance, robotics, design theory, coding theory, knot theory, engineering, and information science contain subtle uncertainty and inconsistent, which causes complexity and
T. Chalapathi, R. V M S S Kiran Kumar
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On the structure of finite groups isospectral to finite simple groups [PDF]
, 2014 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
M. A. Grechkoseeva, A. Vasil’ev
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A new characterization of Janko simple groups
AIMS MathematicsIn this paper, we studied the influence of centralizers on the structure of groups, and demonstrated that Janko simple groups can be uniquely determined by two crucial quantitative properties: its even-order components of the group and the set $ \pi_{p_m}
Zhangjia Han, Jiang Hu , Dongyang He
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Subgroup Graphs of Finite Groups
International Journal of Applied Sciences and Smart Technologies, 2021 Let G be a fnite group with the set of subgroups of G denoted by S(G), then the subgroup graphs of G denoted by T(G) is a graph which set of vertices is S(G) such that two vertices H, K in S(G) (H not equal to K) are adjacent if either H is a subgroup of
Ojonugwa Ejima +2 more
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