Results 21 to 30 of about 714,625 (271)

Quantitative characterization of finite simple groups: a complement [PDF]

International Journal of Group Theory
In this paper, we summarize the research on the characterization of finite simple groups and the study of finite groups based on their ``set of element orders" and ``two orders" (the order of the group and the set of element orders). We also discuss some
Wujie Shi
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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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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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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, Mahmut Kuzucuoğlu   +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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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., Scherer, Jérôme, Viruel, Antonio   +2 more
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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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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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