| A Class of Solvable (q)-Groups |
| Received:January 03, 1994 |
| Key Words:
quasinormal subgroup, selfnormal subgroup, (q)-group, Eq-group, inner-Eq-group.
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| Fund Project:Project supported by Shanxi Youth Sci. & Tec. Found. and Shanxi Nat. Sci. Found. |
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| Abstract: |
| 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. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.1996.04.001 |
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