Character and conjugacy class hypergroups of a finite group

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An axiomatization of abelian hypergroups is given which allows for factor hypergroups to be developed. The hypergroup of characters and the hypergroup of conjugacy classes of a finite group are studied and compared. It is seen (using a theorem of Clifford) that if K is a normal subgroup of a finite group G, then the character hypergroup of G modulo that of G/K is isomorphic to the hypergroup of G-conjugacy classes of the irreducible characters of K.


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Entrata in Redazione l’8 gennaio 1974.

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Roth, R.L. Character and conjugacy class hypergroups of a finite group. Annali di Matematica 105, 295–311 (1975).

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  • Normal Subgroup
  • Finite Group
  • Conjugacy Class
  • Irreducible Character