An Arad and Fisman's theorem on products of conjugacy classes revisited

DOI10.1007/s00009-022-02171-7OpenAlexW4306699546WikidataQ115238818 ScholiaQ115238818MaRDI QIDQ2094551

María José Felipe, Carmen Melchor, Antonio Beltrán Felip

Publication date: 28 October 2022

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-022-02171-7

zbMATH Keywords

conjugacy classesproducts of conjugacy classessolvability criterium

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Finite nilpotent groups, (p)-groups (20D15)

Uses Software

• GAP

Cites Work

• Character theory of finite groups
• Multiplying a conjugacy class by its inverse in a finite group
• Order evaluation of products of subsets in finite groups and its applications. I
• Applying combinatorial results to products of conjugacy classes
• Powers of conjugacy classes in a finite group
• Squares of real conjugacy classes in finite groups
• Squaring a conjugacy class and cosets of normal subgroups
• An analogy between products of two conjugacy classes and products of two irreducible characters in finite groups
• Order evaluation of products of subsets in finite groups and its applications. II

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