A FAMILY OF PERMUTATION GROUPS WITH EXPONENTIALLY MANY NONCONJUGATED REGULAR ELEMENTARY ABELIAN SUBGROUPS

被引：1

作者：

Evdokimov, S. ^{[1
]}

Muzychuk, M. ^{[1
]}

Ponomarenko, I. ^{[2
]}

机构：

[1] Netanya Acad Coll, St Petersburg 191023, Russia

[2] Russian Acad Sci, St Petersburg Branch, Steklov Inst Math, Fontanka 27, St Petersburg 191023, Russia

来源：

ST PETERSBURG MATHEMATICAL JOURNAL | 2018年 / 29卷 / 04期

关键词：

Permutation group; regular subgroup; polynomial over finite field; ISOMORPHISM-PROBLEM;

D O I：

10.1090/spmj/1507

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Given a prime p, a permutation group is constructed that contains at least p(p-2) nonconjugated regular elementary Abelian subgroups of order p(3). This gives the first example of a permutation group with exponentially many nonconjugated regular subgroups.

引用

页码：575 / 580

页数：6

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