ON MINIMAL ORDERS OF GROUPS WITH ODD ORDER AUTOMORPHISM GROUPS

被引：0

作者：

Curran, M. John ^{[1
]}

Higgs, Russell J. ^{[2
]}

机构：

[1] Univ Otago, Dept Math & Stat, Dunedin 9054, New Zealand

[2] Univ Coll Dublin, Sch Math Sci, Dublin 2, Ireland

来源：

COMMUNICATIONS IN ALGEBRA | 2011年 / 39卷 / 01期

关键词：

Automorphism group; NI group;

D O I：

10.1080/00927870903454557

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let G be a finite group. Suppose that the number of prime factors of the order of G, counting repetitions, is less than or equal to five and that the order of G is not equal to p(5) for some prime number p > 3. Then we show that the order of the automorphism group of G is even. We finish with some conjectures on the smallest groups with certain odd order automorphism groups.

引用

页码：199 / 208

页数：10

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