Divisibility of binomial coefficients and generation of alternating groups
Combinatorics
2017-10-24 v3 Group Theory
Number Theory
Abstract
We examine an elementary problem on prime divisibility of binomial coefficients. Our problem is motivated by several related questions on alternating groups.
Cite
@article{arxiv.1505.05143,
title = {Divisibility of binomial coefficients and generation of alternating groups},
author = {John Shareshian and Russ Woodroofe},
journal= {arXiv preprint arXiv:1505.05143},
year = {2017}
}
Comments
16 pages, 1 figure; ancillary attachments include computer code and output. v2 has improved asymptotic density estimates and other minor fixes. v3 has minor fixes for publication