On invariable generation of alternating groups by elements of prime and prime power order
Group Theory
2023-02-20 v2 Number Theory
Abstract
We verify that every alternating group of degree at most one quadrillion is invariably generated by an element of prime order together with an element of prime power order.
Cite
@article{arxiv.2201.12371,
title = {On invariable generation of alternating groups by elements of prime and prime power order},
author = {Robert M. Guralnick and John Shareshian and Russ Woodroofe},
journal= {arXiv preprint arXiv:2201.12371},
year = {2023}
}
Comments
14 pages. Code available on github, see https://github.com/RussWoodroofe/invgen. Partial output in ancillary files, remainder available via Zenodo on upon request. v2 has minor changes for publication