FINITE $p$-GROUPS ALL OF WHOSE NONNORMAL SUBGROUPS HAVE BOUNDED NORMAL CORES
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DOI: 10.1017/s0004972719000753
Abstract: Given a positive integer $m$, a finite $p$-group $G$ is called a $BC(p^{m})$-group if $|H_{G}|\leq p^{m}$ for every nonnormal subgroup $H$ of $G$, where $H_{G}$ is the normal core of $H$ in $G$. We show… read more here.
Keywords: groups whose; subgroups bounded; finite groups; nonnormal subgroups ... See more keywords