摘要
自同构群A(G)由群G所决定.然而,由A(G)的阶确定G的结构仍相当复杂,利用有限群G的自同构群A(G)的性质来刻画G的结构,得到了|A(G)|=2p的有限群G在同构意义下的主要结果.
The construction of group G with the quality of automorphism group A (G) of finite group G is discussed, main results about the types of finite group G with | A(G)| = 2p are obtained, among which p is an odd prime number.
出处
《合肥学院学报(自然科学版)》
2009年第4期8-10,共3页
Journal of Hefei University :Natural Sciences
关键词
2p阶循环群
2p阶二面体群
自同构群
半直积
cyclic group of order 2p
dihedral group of order 2p
automorphism group
semi-direct products