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Questions about the branch of algebra that deals with groups.

3 votes

Infinite Coxeter groups with a non-trivial finite conjugacy class?

Assume that your group is a product of two Coxeter groups. Finite and infinite one. Then generators of the finite subgroup have finite conjugacy classes. Otherwise, you may assume that W is minimal …
Swiat Gal's user avatar
  • 161
3 votes

Infinite Coxeter groups with a non-trivial finite conjugacy class?

Actually, I was too fast. It may happen that removing any generator different from t the group is finite, but after removing t the group (call it W') is still infinite. (Think of triangular group wi …
Swiat Gal's user avatar
  • 161