On some systems of generators of symmetric and alternating groups admitting a simple programmed realization

I. G. Shaposhnikov


Abstract: We give systems of generators of symmetric and alternating permutation groups whose software implementation relies upon simple arithmetical operations. For some given systems, we estimate the group depth (the generator system index).

UDC: 512.6

Received: 23.09.2003

DOI: 10.4213/dm146

 English version: Discrete Mathematics and Applications, 2004, 14:1, 103–110

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