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- W2953273265 abstract "Let G be a finite group and Aut(G) the automorphism group of G. The autocommuting probability of G, denoted by Pr(G,Aut(G)), is the probability that a randomly chosen automorphism of G fixes a randomly chosen element of G. In this paper, we study Pr(G,Aut(G)) through a generalization. We obtain a computing formula, several bounds and characterizations of G through Pr(G,Aut(G)). We conclude the paper by showing that the generalized autocommuting probability of G remains unchanged under autoisoclinism." @default.
- W2953273265 created "2019-06-27" @default.
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- W2953273265 date "2017-07-07" @default.
- W2953273265 modified "2023-10-03" @default.
- W2953273265 title "Autocommuting probability of a finite group" @default.
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- W2953273265 doi "https://doi.org/10.1080/00927872.2017.1332201" @default.
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