Finite p-groups in which every cyclic subgroup is 2-subnormal
Finite p-groups in which every cyclic subgroup is 2-subnormal
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DOI：
10.1017/s0017089502030094
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发表时间：
2002-09
影响因子：
0.5
通讯作者：
Elizabeth A. Ormerod
中科院分区：
文献类型：
--
作者：
Elizabeth A. Ormerod
研究了有限p-群，其中每个循环子群至多有两个亏子群。这类群通常由{\cal U}_{2，1}表示。主要结果是得到了一个刻画这些群的定理，它通过识别{cal U}_{2，1}中的一族群来刻画这些群，并证明了{\cal U}_{2，1}中任何具有p\geq 5的有限p-群一定是其中一个群的同态映象。
This paper investigates finite p-groups, p \geq 5, in which every cyclic subgroup has defect at most two. This class of groups is often denoted by {\cal U}_{2,1}. The main result is a theorem which characterises these groups by identifying a family of groups in {\cal U}_{2,1}, and showing that any finite p-group in {\cal U}_{2,1}, with p \geq 5, must be a homomorphic image of one of these groups.