| Finite $p$-Groups and Normal Closures of Nonnormal Subgroups |
| Received:October 06, 2014 Revised:May 25, 2015 |
| Key Words:
nonnormal subgroups normal closures Dedekindian $p$-groups
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| Fund Project:Supported by the National Natural Science Foundation of China (Grant Nos.11371232; 11226048; 11401355) and the Natural Science Foundation of Shanxi Province (Grant No.2013011001-1). |
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| Abstract: |
| In this paper, finite $p$-groups $G$ with $G/H^G$ being cyclic for every minimal nonnormal subgroup $H$ are classified up to isomorphism, where $H^G$ denotes the normal closure of $H$. |
| Citation: |
| DOI:10.3770/j.issn:2095-2651.2015.05.005 |
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