Hyperreflection groups

Details Hyperreflection groups Hyperreflection groups

2010-08-05

arxiv.org/abs/1008.1084v1

Mathematics

Group Theory

Scientific paper

We introduce the concept of hyperreflection groups, which are a generalization of Coxeter groups. We prove the Deletion and Exchange Conditions for hyperreflection groups, and we discuss special subgroups and fundamental sectors of hyperreflection groups. In the second half of the paper, we prove that Coxeter groups and graph products of groups are examples of hyperreflection groups.

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