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Finite p-groups whose proper subgroups are of class ≤ n

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A finite group G is said to be a minimal non-????n group if G itself is not a group of nilpotency class ≤ n and all of whose proper subgroups… Click to show full abstract

A finite group G is said to be a minimal non-????n group if G itself is not a group of nilpotency class ≤ n and all of whose proper subgroups are of nilpotency class ≤ n. In this paper, we get a upper bound of nilpotency class of a minimal non-????n p-group and some properties about minimal non-????2 p-groups.

Keywords: minimal non; class; whose proper; nilpotency class; group; proper subgroups

Journal Title: Journal of Algebra and Its Applications
Year Published: 2017

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