Results 31 to 40 of about 9,249,351 (292)
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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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
doaj +1 more source
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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On a New Criterion for the Solvability of Non-Simple Finite Groups and m-Abelian Solvability
Journal of Mathematics, 2021 This paper is devoted to introduce a sufficient condition for the solvability of finite groups. Also, it presents the concepts of m-abelian and m-cyclic solvability as new generalizations of solvability and polycyclicity, respectively.
Hasan Sankari, Mohammad Abobala
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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
doaj
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.
Grechkoseeva, Mariya A. +1 more
openaire +2 more sources
A lower bound on the number of finite simple groups
International Journal of Mathematics and Mathematical Sciences, 1980 Let S(n ...
Michael E. Mays
doaj +1 more source
Base sizes for simple groups and a conjecture of Cameron [PDF]
, 2009 Let G be a permutation group on a finite set ?. A base for G is a subset B C_ ? whose pointwise stabilizer in G is trivial; we write b(G) for the smallest size of a base for G. In this paper we prove that b(G) ?
Burness, TC +5 more
core +1 more source
Advanced Engineering Materials, EarlyView.Predicting extreme defects in additive manufacturing remains a key challenge limiting its structural reliability. This study proposes a statistical framework that integrates Extreme Value Theory with advanced process indicators to explore defect–process relationships and improve the estimation of critical defect sizes. The approach provides a basis for
Muhammad Muteeb Butt +8 more
wiley +1 more source
Relatively hyperbolic groups are C*-simple [PDF]
, 2006 We characterize relatively hyperbolic groups whose reduced C*-algebra is simple as those, which have no non-trivial finite normal ...
Arzhantseva, G. +5 more
core +1 more source