COMMUTATOR SUBGROUPS OF IRREDUCIBLE C-GROUPS

A classification up to isomorphism is given of groups that are irreduc ible orientable C-groups in the sense of Kulikov and have commutator s ubgroups that are either free of rank 2 or the Heisenberg group H-3. I n addition, it is shown that the commutator subgroup of every Coxeter group generated by a single conjugacy class of elements is the commuta tor subgroup of some irreducible orientable C-group.