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Start Over Author "Fairbairn, Ben" Publisher cambridge university press
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4. Symmetric presentations of Coxeter groups.

Author

Fairbairn, Ben

Subjects
COXETER groups, GROUP theory, MATHEMATICAL analysis, FINITE groups, MATHEMATICAL symmetry, REPRESENTATIONS of groups (Algebra)
Abstract

We apply the techniques of symmetric generation to establish the standard presentations of the finite simply laced irreducible finite Coxeter groups, that is, the Coxeter groups of types An, Dn and En, and show that these are naturally arrived at purely through consideration of certain natural actions of symmetric groups. We go on to use these techniques to provide explicit representations of these groups. [ABSTRACT FROM AUTHOR]

Published
2011
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