Results 21 to 30 of about 9,249,351 (292)

On recognizing groups by the bottom layer [PDF]

Қарағанды университетінің хабаршысы. Математика сериясы, 2022
The article discusses the possibility of recognizing a group by the bottom layer, that is, by the set of its elements of prime orders. The paper gives examples of groups recognizable by the bottom layer, almost recognizable by the bottom layer, and ...
V.I. Senashov, I.A. Paraschuk
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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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The maximal subgroups of the classical groups in dimension 13, 14 and 15 [PDF]

, 2015
One might easily argue that the Classification of Finite Simple Groups is one of the most important theorems of group theory. Given that any finite group can be deconstructed into its simple composition factors, it is of great importance to have a ...
Schröder, Anna Katharina
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Alperin weight conjecture and related developments

Bulletin of Mathematical Sciences, 2022
The Alperin weight conjecture is central to the modern representation theory of finite groups, and it is still open, despite many different approaches from different points of view.
Zhicheng Feng, Jiping Zhang
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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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Generation problems for finite groups [PDF]

, 2012
It can be deduced from the Burnside Basis Theorem that if G is a finite p-group with d(G)=r then given any generating set A for G there exists a subset of A of size r that generates G. We have denoted this property B.
McDougall-Bagnall, Jonathan M.
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Finiteness properties of profinite groups [PDF]

, 2010
PhDBroadly speaking, a finiteness property of groups is any generalisation of the property of having finite order. A large part of infinite group theory is concerned with finiteness properties and the relationships between them. Profinite groups are an
Reid, Colin David
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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
doaj  

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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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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