POWER MAP PERMUTATIONS AND SYMMETRIC DIFFERENCES IN FINITE GROUPS

DOI10.1142/S0219498811005051zbMath1273.20020arXiv1109.2256MaRDI QIDQ3117913

Guillermo Mantilla-Soler, Márton Hablicsek

Publication date: 1 March 2012

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1109.2256

zbMATH Keywords

finite groupsnilpotent groupsKronecker symbolquadratic reciprocityconjugacy invariant mapsdiscriminants of groupssymmetric differences on groups

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Quadratic extensions (11R11) Combinatorial aspects of difference sets (number-theoretic, group-theoretic, etc.) (05B10) Automorphisms of abstract finite groups (20D45) Finite nilpotent groups, (p)-groups (20D15) Power residues, reciprocity (11A15)

Related Items (1)

Extending the Zolotarev-Frobenius approach to quadratic reciprocity

Cites Work

• Quadratic Reciprocity in a Finite Group

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