• FINITE GROUPS WITH A MAXIMAL NILPOTENT SUBGROUP
Abstract
A solvability condition for finite groups with maximal nilpotent subgroups is given as follows. Let be a finite group and a maximal nilpotent subgroup of . If $P$ is a Sylow 2-subgroup of and every subgroups of of order 2 or 4 is pronormal in , then is solvable.
Keywords: maximal nilpotent subgroups, solvable groups, pronormal subgroups
Subject Classification (2010): 20D10, 20D20.
Keywords: maximal nilpotent subgroups, solvable groups, pronormal subgroups
Subject Classification (2010): 20D10, 20D20.
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