Almost All Alternating Groups are Invariably Generated by Two Elements of Prime Order - UTU Research Portal

A1 Refereed original research article in a scientific journal

Almost All Alternating Groups are Invariably Generated by Two Elements of Prime Order

Authors: Teräväinen Joni

Publisher: OXFORD UNIV PRESS

Publication year: 2023

Journal: International Mathematics Research Notices

Journal name in source: INTERNATIONAL MATHEMATICS RESEARCH NOTICES

Journal acronym: INT MATH RES NOTICES

Article number: rnac354

Number of pages: 16

ISSN: 1073-7928

eISSN: 1687-0247

DOI: https://doi.org/10.1093/imrn/rnac354

Web address : https://academic.oup.com/imrn/advance-article/doi/10.1093/imrn/rnac354/6986885

Self-archived copy’s web address: https://research.utu.fi/converis/portal/detail/Publication/178735749

Abstract

We show that for all n≤X apart from O(Xexp(−c(logX)1/2(loglogX)1/2)) exceptions, the alternating group An is invariably generated by two elements of prime order. This answers (in a quantitative form) a question of Guralnick, Shareshian, and Woodroofe.

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