Integral group ring of the first Mathieu simple group. (English) Zbl 1120.16025
Campbell, C.M. (ed.) et al., Groups St. Andrews 2005. Vol. I. Selected papers of the conference, St. Andrews, UK, July 30–August 6, 2005. Cambridge: Cambridge University Press (ISBN 978-0-521-69469-8/pbk). London Mathematical Society Lecture Note Series 339, 237-245 (2007).
Summary: We investigate the classical Zassenhaus conjecture for the normalized unit group of the integral group ring of the simple Mathieu group \(M_{11}\). As a consequence, for this group we confirm the conjecture by Kimmerle about prime graphs.
For the entire collection see [Zbl 1105.20301].
For the entire collection see [Zbl 1105.20301].
MSC:
| 16U60 | Units, groups of units (associative rings and algebras) |
| 16S34 | Group rings |
| 20C05 | Group rings of finite groups and their modules (group-theoretic aspects) |
| 20D08 | Simple groups: sporadic groups |
