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A CLASS OF SEMI-ρ-ABELIAN ρ-GROUPS

徐明曜

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Abstract

In [1] we defined semi-p-abelian p-groups and studied the connection between the semi-p-commutativity and the regularity. In [2] we introduced the concepts of semi-p~s-abelian as well as strongly semi-p-abelian p-groups and investigated their power structures. In this note we shall prove a sufficient condition for a p-group to be strongly semi-p-abelian (Theorem 1). Applying this theorem, we tried to generalize some recent

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In [1] we defined semi-p-abelian p-groups and studied the connection between the semi-p-commutativity and the regularity. In [2] we introduced the concepts of semi-p~s-abelian as well as strongly semi-p-abelian p-groups and investigated their power structures. In this note we shall prove a sufficient condition for a p-group to be strongly semi-p-abelian (Theorem 1). Applying this theorem, we tried to generalize some recent

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Available abstract

In [1] we defined semi-p-abelian p-groups and studied the connection between the semi-p-commutativity and the regularity. In [2] we introduced the concepts of semi-p~s-abelian as well as strongly semi-p-abelian p-groups and investigated their power structures. In this note we shall prove a sufficient condition for a p-group to be strongly semi-p-abelian (Theorem 1). Applying this theorem, we tried to generalize some recent

Key concepts: Abelian group, Mathematics, Commutative property, Pure mathematics, Connection (principal bundle), Rank of an abelian group, Elementary abelian group, Class (philosophy)

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