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



: Teräväinen Joni

Publisher: OXFORD UNIV PRESS

: 2023

: International Mathematics Research Notices

: INTERNATIONAL MATHEMATICS RESEARCH NOTICES

: INT MATH RES NOTICES

: rnac354

: 16

: 1073-7928

: 1687-0247

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

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

: https://research.utu.fi/converis/portal/detail/Publication/178735749


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.


Last updated on 2024-26-11 at 13:30