Two-Transitive Actions on Conjugacy Classes

dc.citation.epage420en_US
dc.citation.issue3en_US
dc.citation.spage409en_US
dc.citation.volume59en_US
dc.contributor.authorBarry, Michael J. J.
dc.contributor.authorWard, Michael B.
dc.contributor.avlauthorBarry, Michael J. J.
dc.contributor.departmentMathematicsen_US
dc.date.accessioned2018-03-02T17:27:53Z
dc.date.available2018-03-02T17:27:53Z
dc.date.issued1999
dc.description.abstractEvery group acts transitively by conjugation on each of its conjugacy classes of elements. It is natural to wonder when this action becomes multiply transitive. In this paper, we determine all finite groups which act faithfully and 2-transitively on a conjugacy class of elements. We also give some consequences including a solvability criterion based on what fraction of elements belong to conjugacy classes upon which the group acts faithfully and 2–transitively.en_US
dc.description.versionPublished articleen_US
dc.identifier.citationBarry, M.J.J. and Ward, M.B. (1999). Two-transitive actions on conjugacy Classes. Bulletin of the Australian Mathematical Society, 59: 409-420. doi: 10.1017/S0004972700033086en_US
dc.identifier.doi10.1017/S0004972700033086
dc.identifier.issn0004-9727
dc.identifier.issne1755-1633
dc.identifier.urihttp://hdl.handle.net/10456/45802
dc.language.isoen_USen_US
dc.publisherCambridge University Pressen_US
dc.relation.ispartofBulletin of the Australian Mathematical Societyen_US
dc.relation.isversionofhttps://doi.org/10.1017/S0004972700033086en_US
dc.rightsThis version of this article was selected for publishing by the Bulletin of the Australian Mathematical Society © 1999 Barry and Ward.en_US
dc.titleTwo-Transitive Actions on Conjugacy Classesen_US
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