张勤海.一类可解的(q)-群(英文)[J].数学研究及应用,1996,16(4):479~487 |
一类可解的(q)-群(英文) |
A Class of Solvable (q)-Groups |
投稿时间:1994-01-03 |
DOI:10.3770/j.issn:1000-341X.1996.04.001 |
中文关键词: |
英文关键词:quasinormal subgroup, selfnormal subgroup, (q)-group, Eq-group, inner-Eq-group. |
基金项目: |
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中文摘要: |
有限群G叫(q)-群,如果G中每个次正规子群均为拟正规子群,群G叫Eq-群,若G中每个子群在G中拟正规或自正规,有限群G叫内Eq-群,如果G本身不是Eq-群,但G的每个真子群是Eq-群,本文确定了Eq-群的结构与内Eq-群的分类. |
英文摘要: |
A finite group G is called a (q)-group if every subnormal subgroup of G is quasinormal. A finite group G is called an Eq-group if every subgroup of G is either quasinormal or selfnormal. A finite group G is called an inner Eq-groups if G is a non-Eq-group all of whose proper subgroups are Eq-groups. In this paper, the structure of Eq-groups and the classification of inner-Eq-groups are obtained. |
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