Results 31 to 40 of about 12,824,044 (290)
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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Finite Almost Simple Groups whose Holomorph Contains a Solvable Regular Subgroup [PDF]
Advances in Group Theory and ApplicationsIn our previous paper, we gave a complete list of the finite non-abelian simple groups whose holomorph contains a solvable regular subgroup. In this paper, we refine our previous work by considering all finite almost simple groups.
Cindy (Sin Yi)Tsang
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Coprime invariable generation and minimal-exponent groups [PDF]
, 2015 Colva Roney-Dougal acknowledges the support of EPSRC grant EP/I03582X/1.A finite group G is coprimely invariably generated if there exists a set of generators {g1,. .,gu} of G with the property that the orders |g1|,.
Lucchini, Andrea +4 more
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Groups with a Strongly Embedded Subgroup Saturated with Finite Simple Non-abelian Groups
Известия Иркутского государственного университета: Серия "Математика", 2020 An important concept in the theory of finite groups is the concept of a strongly embedded subgroup. The fundamental result on the structure of finite groups with a strongly embedded subgroup belongs to M. Suzuki.
A.A. Shlepkin
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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 whose maximal subgroups of even order are MSN-groups
Open Mathematics, 2022 A finite group GG is called an MSN-group if all maximal subgroups of the Sylow subgroups of GG are subnormal in GG. In this article, we investigate the structure of finite groups GG such that GG is a non-MSN-group of even order in which every maximal ...
Wang Wanlin, Guo Pengfei
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Vehicle-bridge dynamic interaction using finite element modelling [PDF]
, 2010 First investigations on the dynamic response of bridges due to moving loads were motivated by the collapse of the Chester railway bridge in the UK in the middle of the 19th century.
Arturo Gonzalez, González, Arturo
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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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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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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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