An evaluation approach to computing invariants rings of permutation groups

Details An evaluation approach to computing invariants rings of permutation groups An evaluation approach to computing invariants rings of permutation groups

2011-10-17

arxiv.org/abs/1110.3849v1

Mathematics

Combinatorics

18 pages, 4 figures, In Proceedings of MEGA 2011, March 2011

Scientific paper

Using evaluation at appropriately chosen points, we propose a Gr\"obner basis free approach for calculating the secondary invariants of a finite permutation group. This approach allows for exploiting the symmetries to confine the calculations into a smaller quotient space, which gives a tighter control on the algorithmic complexity, especially for large groups. This is confirmed by extensive benchmarks using a Sage implementation.

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