{"about":{"site":"https://codewithpapers.app","non_affiliation":"Code with Papers and Syntology are not affiliated with, endorsed by, or sponsored by Papers with Code, Meta, or the pwc-archive mirror.","licence":"CC BY-SA 4.0","licence_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","attribution":"https://codewithpapers.app/attribution","modified":"archive material modified by Syntology; see the attribution page"},"url":"/paper/on-invariable-generation-of-alternating","title":"On invariable generation of alternating groups by elements of prime and prime power order","arxiv_id":"2201.12371","date":"2022-01-28","proceeding":null,"authors":["Robert M. Guralnick","John Shareshian","Russ Woodroofe"],"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.","url_abs":"https://arxiv.org/abs/2201.12371v2","url_pdf":"https://arxiv.org/pdf/2201.12371v2.pdf","source":{"archive":"pwc-archive (Hugging Face), CC BY-SA 4.0","snapshot":"2025-07-28","licence_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","row_kind":"links_only","authors_date_abstract":"arXiv metadata, CC0 1.0 (https://info.arxiv.org/help/license), from the Kaggle arXiv metadata snapshot of 2026-09-12"},"code_links":[{"paper_slug":"on-invariable-generation-of-alternating","repo_url":"https://github.com/RussWoodroofe/invgen","is_official":1,"mentioned_in_paper":1,"mentioned_in_github":0,"framework":"none","reach":null}],"tasks":[],"methods":[],"datasets_introduced":[],"methods_introduced":[],"results":[],"syntology":{"atlas_url":null,"mcp":null,"developers":"https://syntology.ai/developers"},"arxiv_metadata":null,"syntology_extracted_results":null}