Izvestiya. Mathematics, Tome 38 (1992) no. 1, pp. 199-201
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S. P. Strunkov. On a generalization of Fermat's little theorem. Izvestiya. Mathematics, Tome 38 (1992) no. 1, pp. 199-201. http://geodesic.mathdoc.fr/item/IM2_1992_38_1_a8/
@article{IM2_1992_38_1_a8,
author = {S. P. Strunkov},
title = {On a generalization of {Fermat's} little theorem},
journal = {Izvestiya. Mathematics},
pages = {199--201},
year = {1992},
volume = {38},
number = {1},
language = {en},
url = {http://geodesic.mathdoc.fr/item/IM2_1992_38_1_a8/}
}
TY - JOUR
AU - S. P. Strunkov
TI - On a generalization of Fermat's little theorem
JO - Izvestiya. Mathematics
PY - 1992
SP - 199
EP - 201
VL - 38
IS - 1
UR - http://geodesic.mathdoc.fr/item/IM2_1992_38_1_a8/
LA - en
ID - IM2_1992_38_1_a8
ER -
%0 Journal Article
%A S. P. Strunkov
%T On a generalization of Fermat's little theorem
%J Izvestiya. Mathematics
%D 1992
%P 199-201
%V 38
%N 1
%U http://geodesic.mathdoc.fr/item/IM2_1992_38_1_a8/
%G en
%F IM2_1992_38_1_a8
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 $G$.
