On invariable generation of alternating groups by elements of prime and prime power order

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.

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

References in corpus (2)

• Invariable generation and the chebotarev invariant of a finite group
• Almost all alternating groups are invariably generated by two elements of prime order

Cited by in corpus (2)

• Almost all alternating groups are invariably generated by two elements of prime order
• Invariable generation of finite simple groups and rational homology of coset posets