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

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dc.contributor.authorTeräväinen Joni
dc.contributor.organizationfi=matematiikka|en=Mathematics|
dc.contributor.organization-code1.2.246.10.2458963.20.41687507875
dc.converis.publication-id178735749
dc.converis.urlhttps://research.utu.fi/converis/portal/Publication/178735749
dc.date.accessioned2025-08-27T22:59:07Z
dc.date.available2025-08-27T22:59:07Z
dc.description.abstract<p>We show that for all <em>n</em>≤<em>X</em> apart from <em>O</em>(<em>X</em>exp(−<em>c</em>(log<em>X</em>)1/2(loglog<em>X</em>)1/2)) exceptions, the alternating group <em>A</em><em>n</em> is invariably generated by two elements of prime order. This answers (in a quantitative form) a question of Guralnick, Shareshian, and Woodroofe.<br></p>
dc.identifier.eissn1687-0247
dc.identifier.jour-issn1073-7928
dc.identifier.olddbid203158
dc.identifier.oldhandle10024/186185
dc.identifier.urihttps://www.utupub.fi/handle/11111/50740
dc.identifier.urlhttps://academic.oup.com/imrn/advance-article/doi/10.1093/imrn/rnac354/6986885
dc.identifier.urnURN:NBN:fi-fe2025082790017
dc.language.isoen
dc.okm.affiliatedauthorTeräväinen, Joni
dc.okm.discipline111 Mathematicsen_GB
dc.okm.discipline111 Matematiikkafi_FI
dc.okm.internationalcopublicationnot an international co-publication
dc.okm.internationalityInternational publication
dc.okm.typeA1 ScientificArticle
dc.publisherOXFORD UNIV PRESS
dc.publisher.countryUnited Statesen_GB
dc.publisher.countryYhdysvallat (USA)fi_FI
dc.publisher.country-codeUS
dc.relation.articlenumberrnac354
dc.relation.doi10.1093/imrn/rnac354
dc.relation.ispartofjournalInternational Mathematics Research Notices
dc.source.identifierhttps://www.utupub.fi/handle/10024/186185
dc.titleAlmost All Alternating Groups are Invariably Generated by Two Elements of Prime Order
dc.year.issued2023

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