POWER MAP PERMUTATIONS AND SYMMETRIC DIFFERENCES IN FINITE GROUPS
نویسندگان
چکیده
منابع مشابه
Power Map Permutations and Symmetric Differences in Finite Groups
Let G be a finite group. For all a ∈ Z, such that (a, |G|) = 1, the function ρa : G → G sending g to g defines a permutation of the elements of G. Motivated by a recent generalization of Zolotarev’s proof of classic quadratic reciprocity, due to Duke and Hopkins, we study the signature of the permutation ρa. By introducing the group of conjugacy equivariant maps and the symmetric difference met...
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ژورنال
عنوان ژورنال: Journal of Algebra and Its Applications
سال: 2011
ISSN: 0219-4988,1793-6829
DOI: 10.1142/s0219498811005051