Covering Theorems for FINASIGS VIII—almost all conjugacy classes in An have exponent ≤4

Journal of the Australian Mathematical Society

J. L. Brenner¹ 

关键词: 20 D 05;    20 B 99;   

DOI  :  10.1017/S1446788700038799

学科分类：数学（综合）

来源: Cambridge University Press

【 摘 要 】

The product of two subsets C, D of a group is defined as . The power Ce is defined inductively by C0 = {1}, Ce = CCe−1 = Ce−1C. It is known that in the alternating group An, n > 4, there is a conjugacy class C such that CC covers An. On the other hand, there is a conjugacy class D such that not only DD≠An, but even De≠An for e

【 授权许可】

Unknown