Weakly normal subgroups of finite groups |
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Authors: | Xianhua Li Tao Zhao |
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Institution: | 1.School of Mathematical Science,Soochow University,Suzhou, Jiangsu,People’s Republic of China |
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Abstract: | A subgroup H of a group G is weakly normal in G if H
g
≤ N
G
(H) implies that g ∈ N
G
(H). In this paper, we shall obtain some characterizations about the supersolvability and nilpotency of G by assuming that some subgroups of prime power order of G are weakly normal in G. |
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Keywords: | |
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