FINITE SOLVABLE TIDY GROUPS ARE DETERMINED BY HALL SUBGROUPS WITH TWO PRIMES

被引：1

作者：

Beike, Nicolas F. ^{[1
]}

Carleton, Rachel ^{[1
]}

Costanzo, David G. ^{[2
]}

Heath, Colin ^{[3
]}

Lewis, Mark L. ^{[1
]}

Lu, Kaiwen ^{[4
]}

Pearce, Jamie D. ^{[5
]}

机构：

[1] Kent State Univ, Dept Math Sci, Kent, OH 44242 USA

[2] Clemson Univ, Sch Math & Stat Sci, O110 Martin Hall,Box 340975, Clemson, SC 29634 USA

[3] New York Univ, Sch Law, 40 Washington Sq South, New York, NY 10012 USA

[4] Brown Univ, Dept Math, Providence, RI 02912 USA

[5] Univ Texas Austin, Dept Math, 2515 Speedway,PMA 8-100, Austin, TX 78712 USA

来源：

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2024年 / 109卷 / 02期

基金：

美国国家科学基金会;

关键词：

tidy groups; solvable groups; Hall subgroups;

D O I：

10.1017/S0004972723000710

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we investigate finite solvable tidy groups. We prove that a solvable group with order divisible by at least two primes is tidy if all of its Hall subgroups that are divisible by only two primes are tidy.

引用

页码：342 / 349

页数：8

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