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).
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Discrete Mathematics and Applications
Editor-in-Chief: Zubkov, Andrei
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- (to the centenary of the birth)
- Some classes of random mappings of finite sets and non-homogeneous branching processes
- The method of boundary functionals for non-regular structures
- A formula for the radius of stability of a vector -extremal trajectory problem
- Solving systems of polynomial equations over Galois–Eisenstein rings with the use of the canonical generating systems of polynomial ideals
- Standard basis of a polynomial ideal over commutative Artinian chain ring
- On some systems of generators of symmetric and alternating groups which allow a simple software implementation
On some systems of generators of symmetric and alternating groups which allow a simple software implementation
I.G. Shaposhnikov
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Published in Print: 2004-01-01
Citation Information: Discrete Mathematics and Applications dma, Volume 14, Issue 1, Pages 103–110, ISSN (Online) 1569-3929, ISSN (Print) 0924-9265, DOI: https://doi.org/10.1515/156939204774148839.
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- Andrei Andreevich Markov (to the centenary of the birth)
- Some classes of random mappings of finite sets and non-homogeneous branching processes
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