Finite non-elementary abelian p-groups whose number of subgroups is maximal

作者：Qu Haipeng^*

来源：Israel Journal of Mathematics, 2013, 195(2): 773-781.

DOI：10.1007/s11856-012-0114-0

Assume G is a direct product of M (p) (1, 1, 1) and an elementary abelian p-group, where M (p) (1, 1, 1) = aOE (c) a, b | a (p) = b (p) = c (p) =1, [a,b]=c,[c,a] = [c,b]=1 >. When p is odd, we prove that G is the group whose number of subgroups is maximal except for elementary abelian p-groups. Moreover, the counting formula for the groups is given.

• 出版日期2013-6
• 单位山西师范大学