Weakly normal subgroups of finite groups

Xianhua Li () and Tao Zhao ()
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Xianhua Li: Soochow University
Tao Zhao: Soochow University

Indian Journal of Pure and Applied Mathematics, 2010, vol. 41, issue 6, 745-753

Abstract: 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.

Keywords: Minimal subgroup; weakly normal subgroup; supersolvable group; nilpotent group (search for similar items in EconPapers)
Date: 2010
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DOI: 10.1007/s13226-010-0043-8

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