On Involutive Anti-Automorphisms of Finite Abelian Groups

Jurriaan Hage, Tero Harju

Research output: Book/ReportOther report


We investigate various aspects of involutions of groups, i.e, anti-automorphisms of order at most two. The emphasis is on finite abelian groups. We count the number of involutions for the cyclic groups, and consider the problem for direct products of groups. We also give a characterization for the set of skewed squares of finitely generated abelian groups with identity as the involution. The present paper is motivated by our research into switching classes of combinatorial graphs where the edges have skew gains.
Original languageEnglish
PublisherDepartment of Information and Computing Sciences, Utrecht University
Number of pages11
Publication statusPublished - 2007

Publication series

NameTechnical Report Series
ISSN (Print)0924-3275


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