Journal article
INTEGRAL GROUP RINGS OF FINITE GROUPS OF LIE TYPE
The Bulletin of the London Mathematical Society, Vol.31(1), pp.43-44
01/1999
DOI: 10.1112/S0024609398004937
Abstract
The ‘isomorphism problem for integral group rings’ (IP) is the question whether for two finite groups G and H, the existence of an isomorphism of the integral group rings ℤG and ℤH implies that G and H are isomorphic. Though (IP) is not true in general [4], it is still an interesting question for which classes of finite groups (IP) has a positive solution. In this note, we want to show that (IP) holds for finite groups of Lie type associated to Chevalley groups of universal type. Note that if U(ℤG) denotes the units of ℤG, and V(ℤG) stands for the units with augmentation 1, then U(ℤG)≅V(ℤG)×U(ℤ), and we can always assume that H[les ]V(ℤG).
Details
- Title: Subtitle
- INTEGRAL GROUP RINGS OF FINITE GROUPS OF LIE TYPE
- Creators
- FRAUKE M BLEHER - Department of Mathematics, University of Pennsylvania, Philadelphia, PA 19104–6395, USA
- Resource Type
- Journal article
- Publication Details
- The Bulletin of the London Mathematical Society, Vol.31(1), pp.43-44
- Publisher
- Cambridge University Press
- DOI
- 10.1112/S0024609398004937
- ISSN
- 0024-6093
- eISSN
- 1469-2120
- Number of pages
- 2
- Copyright
- © 1999 London Mathematical Society
- Language
- English
- Date published
- 01/1999
- Academic Unit
- Mathematics
- Record Identifier
- 9983985983802771
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