Groups whose same-order types are arithmetic progressions

被引：0

作者：

Lazorec, Mihai-Silviu ^{[1
]}

Tarnauceanu, Marius ^{[1
]}

机构：

[1] Alexandru Ioan Cuza Univ, Fac Math, Iasi, Romania

来源：

QUAESTIONES MATHEMATICAE | 2022年 / 45卷 / 08期

关键词：

Primary; Secondary; Group element orders; same-order type of a group; arithmetic progression; FINITE-GROUPS;

D O I：

10.2989/16073606.2021.1942288

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The same-order type tau(e)(G) of a finite group G is a set formed of the sizes of the equivalence classes containing the same order elements of G. In this paper, we study an arithmetical property of this set. More exactly, we outline some results on the classification and existence of finite groups whose same-order types are arithmetic progressions formed of 3 or 4 elements, the latter being the maximum size of such a sequence.

引用

页码：1309 / 1316

页数：8

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