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A REFINED WARING PROBLEM FOR FINITE SIMPLE GROUPS

Forum of Mathematics, Sigma, 2015
Let $w_{1}$ and $w_{2}$ be nontrivial words in free groups $F_{n_{1}}$ and $F_{n_{2}}$, respectively. We prove that, for all sufficiently large finite nonabelian simple groups $G$, there exist subsets $C_{1}\subseteq w_{1}(G)$ and $C_{2}\subseteq w_{2}(G)
MICHAEL LARSEN, PHAM HUU TIEP
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On the minimal dimension of a finite simple group [PDF]

Journal of Combinatorial Theory, Series A, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Timothy C. Burness, Martino Garonzi, Andrea Lucchini   +2 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, Mahmut Kuzucuoğlu   +1 more
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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.
Grechkoseeva, Mariya A., Vasil'ev, Andrey V.   +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, Ghulam Farid, Tayaba Tariq, Ebenezer Bonyah   +3 more
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Finite Almost Simple Groups whose Holomorph Contains a Solvable Regular Subgroup [PDF]

Advances in Group Theory and Applications
In 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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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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A lower bound on the number of finite simple groups

International Journal of Mathematics and Mathematical Sciences, 1980
Let S(n ...
Michael E. Mays
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