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

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

Teräväinen Joni
Katso/Avaa
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OXFORD UNIV PRESS
doi:10.1093/imrn/rnac354
URI
https://academic.oup.com/imrn/advance-article/doi/10.1093/imrn/rnac354/6986885
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Julkaisun pysyvä osoite on:
https://urn.fi/URN:NBN:fi-fe2025082790017
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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