Article contents
Autoclinisms and automorphisms of finite groups
Published online by Cambridge University Press: 17 April 2009
Abstract
Let Γ be a family of isoclinic finite groups, and let acl(Γ) be the group of autoclinisms of Γ. In this paper we prove the following formula:
where the sum is taken over a complete system of stem groups S in Γ. This result is due to P. Hall, who outlined a proof in his paper, “On groups of automorphisms” (J. reine angew. Math). 182 (1940), 194–204, using presentations, whereas in this paper we consider stem groups in terms of central extensions.
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 13 , Issue 3 , December 1975 , pp. 439 - 449
- Copyright
- Copyright © Australian Mathematical Society 1975
References
- 4
- Cited by