All even permutations with large support are commutators of generating pairs
Group Theory
2014-03-13 v1
Abstract
We establish that any even permutation from A_n moving at least [3n/4] + o(n) points is the commutator of a generating pair of A_n and a generating pair of S_n. From this we deduce an exponential lower bound on the number of systems of transitivity in alternating and symmetric groups.
Keywords
Cite
@article{arxiv.1403.2775,
title = {All even permutations with large support are commutators of generating pairs},
author = {David Zmiaikou},
journal= {arXiv preprint arXiv:1403.2775},
year = {2014}
}
Comments
8 pages, 2 tables