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Recognition of the Simple Groups 2D8((2n)2)

Recognition of the Simple Groups 2D8((2n)2) AbstractOne of the important problems in finite groups theory is group characterization by specific property. Properties, such as element orders, set of elements with the same order, the largest element order, etc. In this paper, we prove that the simple groups 2D8((2n)2)where, 28n+ 1 is a prime number are uniquely determined by its order and the largest elements order. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Annals of West University of Timisoara - Mathematics de Gruyter

Recognition of the Simple Groups 2D8((2n)2)

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Publisher
de Gruyter
Copyright
© 2019 Behnam Ebrahimzadeh, published by Sciendo
ISSN
1841-3307
eISSN
1841-3307
DOI
10.2478/awutm-2019-0014
Publisher site
See Article on Publisher Site

Abstract

AbstractOne of the important problems in finite groups theory is group characterization by specific property. Properties, such as element orders, set of elements with the same order, the largest element order, etc. In this paper, we prove that the simple groups 2D8((2n)2)where, 28n+ 1 is a prime number are uniquely determined by its order and the largest elements order.

Journal

Annals of West University of Timisoara - Mathematics – de Gruyter

Published: Dec 1, 2019

Keywords: elements order; largest element order; prime graph

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