2007-12-07, 16:12

Hi, just a quick question about free groups. I'm studying a class of groups which resemble free groups with a set C of generators (possibly infinite), except that every generator is its own inverse. (But non-generators, i.e., elements not in C, may not necessarily have this property.) Is there a name for this kind of "almost-free" group? Is it isomorphic to actual free groups by any chance? Are there well-known properties of such groups? Thanks.