On the number of solutions of a generalized commutator equation in finite groups

DOI10.1007/S10474-018-0863-2zbMath1424.20029OpenAlexW2886425415WikidataQ129383123 ScholiaQ129383123MaRDI QIDQ1714990

Erdal Karapınar

Publication date: 1 February 2019

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-018-0863-2

zbMATH Keywords

finite groupcommutatorirreducible characterword map

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Commutator calculus (20F12) Algebraic geometry over groups; equations over groups (20F70)

Related Items (5)

Some numerical results on the wreath product of \(Z_p\) and \(Z_{p^n}\) ⋮ The probability that the commutator equation [x,y=g has solution in a finite group] ⋮ On IA-isoclinism of groups ⋮ Word problems for finite nilpotent groups ⋮ ON THE PROBABILITY DISTRIBUTION OF THE PRODUCT OF POWERS OF ELEMENTS IN COMPACT LIE GROUPS

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