On one-relator products induced by generalized triangle groups II |
| |
Authors: | Ihechukwu Chinyere |
| |
Institution: | Department of Mathematics, Michael Okpara University of Agriculture, Umudike, Umuahia, Abia State, Nigeria |
| |
Abstract: | This is the second of two papers in which we study a group which is the quotient of a free product of groups by the normal closure of a single word that is contained in a subgroup which has the form of a free product of two cyclic groups. We use known properties of generalized triangle groups, together with detailed analysis of pictures and of words in free monoids, to prove a number of results such as a Freiheitssatz and the existence of Mayer-Vietoris sequences for such groups under suitable hypotheses. The results generalize those in an earlier article of the second author and Shwartz. |
| |
Keywords: | Generalized triangle groups one-relator group pictures |
|
|