This article is cited in 1 paper

On a generalization of Fermat's little theorem

S. P. Strunkov

Moscow Engineering Physics Institute (State University)

Abstract: We obtain a congruence type arithmetic relation on the set of all triples $(G,H,P)$, where $G$ is a finite group, $H$ is a subgroup, and $P$ is a representation of $G$ by permutations. This relation becomes Fermat's Little Theorem in the case when $G=Z_p$, $H=1$, and $P$ is the regular representation of $G$.

UDC: 519.4

MSC: Primary 11A07; Secondary 11A25, 11B75, 20B35

Received: 17.01.1989

 English version: Mathematics of the USSR-Izvestiya, 1992, 38:1, 199–201

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