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Construction of Some Irreducible Subgroups of E8 and E6

Published online by Cambridge University Press:  01 February 2010

A.J.E Ryba
A.J.E Ryba
Affiliation:
Department of Computer Science Queens College, CUNY, NY 11367, USA, [email protected]

Abstract

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We construct two embeddings of finite groups into groups of Lie type. These embeddings have the interesting property that the finite subgroup acts irreducibly on a minimal module for the group of Lie type. We present our constructions as examples of a general method that obtains embeddings into groups of Lie type.

Type
Research Article
Information
LMS Journal of Computation and Mathematics , Volume 10 , 2007 , pp. 329 - 340
Copyright
Copyright © London Mathematical Society 2007

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