自同构平方根环群的偏态射的分类

Ars Math. Contemp. Pub Date : 2021-05-13 DOI:10.26493/1855-3974.2129.AC1

Kan Hu, Young Soo Kwon, Jun-Yang Zhang

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引用次数: 4

摘要

有限群a的斜态射φ的自索引是使φ h是a的自同构的最小正整数h。本文建立了斜态射的自索引理论，并给出了自同构平方根有限循环群的斜态射的完全分类。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Classification of skew morphisms of cyclic groups which are square roots of automorphisms

The auto-index of a skew morphism φ of a finite group A is the smallest positive integer h such that φ h is an automorphism of A . In this paper we develop a theory of auto-index of skew morphisms, and as an application we present a complete classification of skew morphisms of finite cyclic groups which are square roots of automorphisms.

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来源期刊

Ars Math. Contemp.

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