No CrossRef data available.
Article contents
On the structure of a real crossed group algebra
Published online by Cambridge University Press: 17 April 2009
Abstract
Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.
We prove that the crossed group algebra A of the infinite dihedral group over the real field defined by the generators a and b, relations b−1 ab = a−1, b2 = −1, and λa = aλ, λb = bλ for all real λ is a principal left ideal ring. This corrects a result of Buzási and provides the missing step towards the classification of finitely generated torsion-free RG-modules for groups G which contain an infinite cyclic subgroup of finite index.
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 41 , Issue 1 , February 1990 , pp. 113 - 115
- Copyright
- Copyright © Australian Mathematical Society 1990
References
[1]Buzási, K., ‘On the structure of a real crossed group algebra’, Bull. Austral. Math. Soc. 38 (1988), 31–40.CrossRefGoogle Scholar
You have
Access