Article contents
The multiplicator of a regular product of groups
Published online by Cambridge University Press: 17 April 2009
Abstract
It is shown that if G is an arbitrary regular product of its subgroups Aλ, ∈ ϵ I, then the multiplicator, M(G), is the director product of the M(Aλ) together with a certain other group. This extends a calculation of M(A1 × A2) due to Schur. As an application, we find the multiplicator of a vertai wreath product A wrVB where A is abelian. A representing group for a finite regular product is also constructed.
- Type
- Research Article
- Information
- Copyright
- Copyright © Australian Mathematical Society 1972
References
- 6
- Cited by