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

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

Tekijät: Teräväinen Joni

Kustantaja: OXFORD UNIV PRESS

Julkaisuvuosi: 2023

Journal: International Mathematics Research Notices

Tietokannassa oleva lehden nimi: INTERNATIONAL MATHEMATICS RESEARCH NOTICES

Lehden akronyymi: INT MATH RES NOTICES

Artikkelin numero: rnac354

Sivujen määrä: 16

ISSN: 1073-7928

eISSN: 1687-0247

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

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

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

Tiivistelmä

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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rnac354.pdf