On Irreducible, Infinite, Non-affine Coxeter Groups
نویسنده
چکیده
The following results are proved: (1) The center of any finite index subgroup of an irreducible, infinite, non-affine Coxeter group is trivial; (2) Any finite index subgroup of an irreducible, infinite, non-affine Coxeter group cannot be expressed as a product of two nontrivial subgroups. These two theorems imply a unique decomposition theorem for a class of Coxeter groups. . MSC 2000 Subject Classifications: Primary 20F55; Secondary 20F65, 57M07, 53C23
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تاریخ انتشار 2006