Two-Transitive Actions on Conjugacy Classes

Barry, Michael J. J.; Ward, Michael B.

doi:10.1017/S0004972700033086

Two-Transitive Actions on Conjugacy Classes

Persistent URL

http://hdl.handle.net/10456/45802

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

File(s)

Name

Barry and Ward_1999_BAMS.pdf

Description

cover

Size

331.16 KB

Format

Adobe PDF

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