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The Center of Thin Gaussian Groups

✍ Scribed by Matthieu Picantin


Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
239 KB
Volume
245
Category
Article
ISSN
0021-8693

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✦ Synopsis


Thin Gaussian groups are a natural generalization of spherical Artin groups, namely groups of fractions of monoids in which the existence of least common multiples is kept as an hypothesis, but the relations between the generators are not supposed to necessarily be of Coxeter type. Here we completely describe the center of thin Gaussian groups by constructing a minimal generating set for the quasicenter. We deduce that every thin Gaussian group is an iterated crossed product of thin Gaussian groups with a cyclic center.


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