On some types of antinormal subgroups
Keyword(s):
A subgroup $H$ is called a pronormal subgroup in a group $G$ if for any $g \in G$ subgroups $H$ and $H^g$ are conjugated in ${<}H, H^g{>}$. A subgroup $H$ is called a contranormal subgroup in a group $G$ if $H^G = G$. A subgroup $H$ is called a weak pronormal subgroup in a group $G$ if $N_K(H)$ is contranormal in any subgroup $K$ which contains $H$. We obtained the examples of non pronormal but weak pronormal subgroups.
1975 ◽
Vol 27
(4)
◽
pp. 837-851
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1984 ◽
Vol 36
(1)
◽
pp. 69-86
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