caa a22 4500 388092033 CHVBK 20180307125254.0 cr unu---uuuuu 161130e199906 xx s 000 0 eng 10.1017/S0004972700033086 doi S0004972700033086 pii (NATIONALLICENCE)cambridge-10.1017/S0004972700033086 Two-transitive actions on conjugacy classes [Elektronische Daten] 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. Copyright © Australian Mathematical Society 1999 Barry Michael J.J. Department of Mathematics Allegheny College Meadville PA 16335, United States of America e-mail: mbarry@alleg.edu Ward Michael B. Department of Mathematics Western Oregon University Monmouth OR 97361, United States of America e-mail: wardm@wou.edu Bulletin of the Australian Mathematical Society Cambridge University Press 59/3(1999-06), 409-420 0004-9727 59:3<409 1999 59 BAZ https://doi.org/10.1017/S0004972700033086 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1017/S0004972700033086 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Barry Michael J.J. Department of Mathematics Allegheny College Meadville PA 16335, United States of America e-mail: mbarry@alleg.edu NATIONALLICENCE 700 1- Ward Michael B. Department of Mathematics Western Oregon University Monmouth OR 97361, United States of America e-mail: wardm@wou.edu NATIONALLICENCE 773 0- Bulletin of the Australian Mathematical Society Cambridge University Press 59/3(1999-06), 409-420 0004-9727 59:3<409 1999 59 BAZ CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-cambridge