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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2000 Mathematics Subject Classification:
ACKNOWLEDGMENT
I am grateful to Professor Christopher W. Parker for drawing my attention to the paper of B. Baumann [Citation1].
Notes
Communicated by A. Turull.