SOME GENERALIZATIONS OF ONE-RELATOR GROUPS.

Title: SOME GENERALIZATIONS OF ONE-RELATOR GROUPS.
Identifier: AAI8312336
identifier: 8312336
Creator: BENCSATH, KATALIN AGNES.
Contributor: Gilbert Baumslag
Date: 1983
Language: English
Publisher: City University of New York.
Subject: Mathematics
Abstract: In this work, a parallel is drawn between certain one-relator quotients of free products arising as homomorphic images of surface groups and the surface groups themselves. After extending G. Baumslag's theorem that X-groups are free-by-cyclic to further classes of one-relator groups, the Freiheitssatz, residual finiteness and having locally free derived group are established for the mentioned quotients. A constructive proof is given for the solution of the word-problem in these groups.
Type: dissertation
Source: PQT Legacy CUNY.xlsx
degree: Ph.D.
Program: Mathematics