Applications of versal deformations to Galois theory

F.M Bleher; T Chinburg

doi:10.1007/s000140300002

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Applications of versal deformations to Galois theory

Journal article

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Peer reviewed

Applications of versal deformations to Galois theory

F.M Bleher and T Chinburg

Commentarii Mathematici Helvetici, Vol.78(1), pp.45-64

02/2003

DOI: 10.1007/s000140300002

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Abstract

In this paper we study which solutions to an embedding problem can be constructed using a versal deformation of a group representation over an algebraically closed field of positive characteristic. This question reduces (at least stably) to finding which representations of finite groups have faithful versal deformations. We determine exactly when a versal deformation of a representation of a finite group is faithful in case the representation belongs to a cyclic block and its endomorphisms are given by scalar multiplications.

Versal deformations, Galois theory, embedding problems, cyclic blocks

Details

Title: Subtitle: Applications of versal deformations to Galois theory
Creators: F.M Bleher - Department of Mathematics, University of Iowa, Iowa City, IA 52242-1419, USA US
T Chinburg - Department of Mathematics, University of Pennsylvania, Philadelphia, PA 19104-6395, USA US
Resource Type: Journal article
Publication Details: Commentarii Mathematici Helvetici, Vol.78(1), pp.45-64
Publisher: Birkhäuser Verlag; Basel
DOI: 10.1007/s000140300002
ISSN: 0010-2571
eISSN: 1420-8946
Language: English
Date published: 02/2003
Academic Unit: Mathematics
Record Identifier: 9983985964902771

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