Normal Restriction in Finite Groups |
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| Authors: | Hung P. Tong-Viet |
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| Affiliation: | 1. School of Mathematics , The University of Birmingham , Edgbaston, Birmingham B15 2TT, UK tongviet@for.mat.bham.ac.uk |
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| Abstract: | A subgroup H of a finite group G is called an NR ? subgroup (Normal Restriction) if whenever K ? H, then K G ∩ H = K, where K G is the normal closure of K in G. In this article, we will prove some sufficient conditions for the solvability of finite groups which possess many NR-subgroups. We also prove a criterion for the existence of a normal p-complement in finite groups. |
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| Keywords: | p-nilpotent Solvable |
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