N.C. Bonciocat, M. Cipu, M.-T. Tsai, and A. Zaharescu: Congruences Characterizing the Bicrossproduct of Cyclic Groups, p.267-279

Abstract:

We study congruences characterizing the matching of cyclic groups by automorphisms, obtain necessary and sufficient conditions such that the congruences have non-trivial solutions in both symmetric and general cases, and discuss various properties of some related congruences.

Key Words: Prime number, congruence, bicrossproduct.

2000 Mathematics Subject Classification: Primary: 11A07;
Secondary: 11A41, 11A51.

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