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Automorphisms of finite Abelian groups

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arxiv math/0605185 v1 pith:ZPRSBCGS submitted 2006-05-08 math.GR math.HO

Christopher J. Hillar , Darren Rhea This is my paper · ORCID
classification math.GRmath.HO
keywords abelianautomorphismsfiniteaccessiblecardinalitydescriptionexplicitformula
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abstract

We give an accessible and modern description of the automorphisms of a finite abelian group $G$. Included is an explicit formula for the cardinality of $Aut(G)$.

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Cited by 1 Pith paper

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  1. Non-Invertible Symmetries as Condensation Defects in Finite-Group Gauge Theories

    cond-mat.str-el 2024-12 conditional novelty 6.0 of 10

    Non-invertible symmetries in finite-group gauge theories are realized as condensation defects, with a complete Z_N dictionary and new automorphism symmetry expressions.

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