Homology of Gaussian groups
We describe new combinatorial methods for constructing an explicit free resolution of Z by ZG-modules when G is a group of fractions of a monoid where enough least common multiples exist (``locally Gaussian monoid''), and, therefore, for computing the homology of G. Our constructions apply...
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Main Authors | , |
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Format | Journal Article |
Language | English |
Published |
21.11.2001
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Subjects | |
Online Access | Get full text |
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Summary: | We describe new combinatorial methods for constructing an explicit free
resolution of Z by ZG-modules when G is a group of fractions of a monoid where
enough least common multiples exist (``locally Gaussian monoid''), and,
therefore, for computing the homology of G. Our constructions apply in
particular to all Artin groups of finite Coxeter type, so, as a corollary, they
give new ways of computing the homology of these groups. |
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DOI: | 10.48550/arxiv.math/0111231 |