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Two-Transitive Actions on Conjugacy Classes

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Author(s)
Barry, Michael J. J.
Ward, Michael B.
Date Issued
May 1, 1999
Abstract
Every 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.
Journal
Bulletin of the Australian Mathematical Society
Department
Mathematics
Citation
Barry, 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/S0004972700033086
Publisher
Cambridge University Press
Version of Article
Published article
DOI
10.1017/S0004972700033086
ISSN
0004-9727
e1755-1633
Rights
This version of this article was selected for publishing by the Bulletin of the Australian Mathematical Society © 1999 Barry and Ward.
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