A subgroup A of a p-group G is said to be soft in G if CG(A) = A and |NG(A)/A| = p. In this paper we determined finite p-groups all of whose maximal abelian subgroups are soft; see Theorem A and Proposition 2.4.
基金supported by National Natural Science Foundation of China (Grant No.11071150)Natural Science Foundation of Shanxi Province (Grant No. 2008012001)The Returned Abroad-student Found of Shanxi Province (Grant No. [2007]13–56)
文摘A subgroup A of a p-group G is said to be soft in G if CG(A) = A and |NG(A)/A| = p. In this paper we determined finite p-groups all of whose maximal abelian subgroups are soft; see Theorem A and Proposition 2.4.
