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π-Quasinormally embedded subgroups and p-nilpotency of finite groups

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Abstract Let P be a nontrivial p-group. A chain of subgroups is called a maximal chain of P provided that In this article, we determine the structure of finite groups… Click to show full abstract

Abstract Let P be a nontrivial p-group. A chain of subgroups is called a maximal chain of P provided that In this article, we determine the structure of finite groups having π-quasinormally embedded subgroups of a maximal chain of Sylow subgroups. We obtain new characterizations of finite p-nilpotent and supersolvable groups.

Keywords: finite groups; groups quasinormally; nilpotency finite; subgroups nilpotency; embedded subgroups; quasinormally embedded

Journal Title: Communications in Algebra
Year Published: 2020

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