Odd order groups with an automorphism cubing many elements

Journal of the Australian Mathematical Society

Marian Deaconescu¹ 

[1] Desmond MacHale

关键词: 20 E 36;   

DOI  :  10.1017/S1446788700030743

学科分类：数学（综合）

来源: Cambridge University Press

【 摘 要 】

We determine the structure of a nonabelian group G of odd order such that some automorphism of G sends exactly (1/p)|G| elements to their cubes, where p is the smallest prime dividing |G|. These groups are close to being abelian in the sense that they either have nilpotency class 2 or have an abelian subgroup of index p.

【 授权许可】

Unknown