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The minimizing of the Nielsen root classes

✍ Scribed by Daciberg L. Gonçalves; Claudemir Aniz

Book ID
111487667
Publisher
SP Versita
Year
2004
Tongue
English
Weight
248 KB
Volume
2
Category
Article
ISSN
1895-1074

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If ␣ and ␤ are positive roots in the root system of a Coxeter group W, we say that ␣ dominates ␤ if w␤ is negative whenever w␣ is negative for w g W. We say that ␣ is elementary or dominance-minimal, if it does not dominate any ␤ / ␣. It Ž . is shown by the author and R. B. Howlett Math. Ann. 296, 1