Recognizability of finite groups by Suzuki group

IF 0.5 Q3 MATHEMATICS

Archivum Mathematicum Pub Date : 2019-01-01 DOI:10.5817/am2019-4-225

A. K. Asboei, S. S. S. Amiri

引用次数: 2

Abstract

Let G be a finite group. The main supergraph S(G) is a graph with vertex set G in which two vertices x and y are adjacent if and only if o(x) | o(y) or o(y) | o(x). In this paper, we will show that G ∼= Sz(q) if and only if S(G) ∼= S(Sz(q)), where q = 22m+1 ≥ 8.

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铃木群有限群的可识别性

设G是一个有限群。主超图S(G)是一个顶点集G的图，其中两个顶点x和y相邻当且仅当o(x) | o(y)或o(y) | o(x)。在本文中，我们将证明G ~ = Sz(q)当且仅当S(G) ~ = S(Sz(q))，其中q = 22m+1≥8。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Archivum Mathematicum MATHEMATICS-

CiteScore

0.70

自引率

16.70%

发文量

审稿时长

35 weeks

期刊介绍： Archivum Mathematicum is a mathematical journal which publishes exclusively scientific mathematical papers. The journal, founded in 1965, is published by the Department of Mathematics and Statistics of the Faculty of Science of Masaryk University. A review of each published paper appears in Mathematical Reviews and also in Zentralblatt für Mathematik. The journal is indexed by Scopus.