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Communications in Algebra Volume 40, 2012 - Issue 1
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Original Articles

The Structure of a Presented Group Associated to an Extended Affine Root System

Valiollah Shahsanaei Department of Mathematics, Qøm University, Qøm, IranCorrespondence[email protected] ; [email protected]
Pages 125-133 | Received 04 Jan 2010, Published online: 17 Jan 2012
 
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Abstract

Here we study the structure of a group with the presentation by conjugation which has been assigned to an extended affine root system R. We show that is isomorphic to the direct product of the extended affine Weyl group 𝒲 of R and the kernel of a natural epimorphism . The article also shows that has structural features that are well known for 𝒲.

2000 Mathematics Subject Classification:

ACKNOWLEDGMENT

The author would like to thank Professor Saeid Azam for some fruitful discussions on the subject.

Notes

Communicated by A. Elduque.

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