有限群上的逆模糊函数与自同构

IF 0.4 Q4 MATHEMATICS

Annales Mathematicae Silesianae Pub Date : 2019-09-01 DOI:10.2478/amsil-2019-0006

Imke Toborg

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引用次数: 0

摘要

摘要若G是有限群，则对于所有x∈G，当且仅当f(x)−1 = f−1(x)时，双射函数f: G→G是逆二义函数，给出了当有限群存在逆二义函数和有限群存在逆二义自同构时的精确描述。

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Inverse Ambiguous Functions and Automorphisms on Finite Groups

Abstract If G is a finite group, then a bijective function f : G → G is inverse ambiguous if and only if f(x)−1 = f−1(x) for all x ∈ G. We give a precise description when a finite group admits an inverse ambiguous function and when a finite group admits an inverse ambiguous automorphism.

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来源期刊

Annales Mathematicae Silesianae Mathematics-Mathematics (all)

CiteScore

0.60

自引率

25.00%

发文量

审稿时长

27 weeks