Journal ArticleDOI
Aspherical group presentations
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This article is published in Mathematische Zeitschrift.The article was published on 1981-03-01. It has received 114 citations till now. The article focuses on the topics: Group (mathematics).read more
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Journal ArticleDOI
On locally indicable groups
TL;DR: In this paper, it was shown that a torsion-free 1-relator group G over an integral domain R has no zero-divisors and no non-trivial units.
Journal ArticleDOI
Generic properties of Whitehead’s algorithm and isomorphism rigidity of random one-relator groups
TL;DR: It is proved that Whitehead's algorithm for solving the automorphism problem in a fixed free group F k has strongly linear time generic-case complexity and a Mostow-type isomorphism rigidity result for random one-relator groups.
Book ChapterDOI
Reducible Diagrams and Equations Over Groups
TL;DR: In this paper, sufficient conditions for the reducibility of all spherical diagrams are given, unifying and generalizing work of Adian, Remmers, Lyndon, and Sieradski.
Journal ArticleDOI
Subgroups of profinite groups acting on trees
P A Zalesskiĭ,O V Mel'nikov +1 more
TL;DR: The fundamental groups of finite graphs of profinite groups are studied in this article, where the definitions are similar to those of the analogous constructions in Bass-Serre theory, and results are obtained on the following: the disposition of finite and finite normal subgroups of ; intersections of conjugates of vertex groups; and normalizers of vertex-groups.
Journal ArticleDOI
Spherical diagrams and identities among relations
References
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Book
Combinatorial Group Theory
Roger C. Lyndon,Paul E. Schupp +1 more
TL;DR: In this article, the authors introduce the concept of Free Products with Amalgamation (FPAM) and Small Cancellation Theory over free products with amalgamation and HNN extensions.
Book
Algebraic Topology: An Introduction
TL;DR: Professor Massey's book developed from lecture notes of courses taught to Yale undergraduate and graduate students over a period of several years, and is the author of numerous research articles on algebraic topology and related topics.
Book
Introduction to Piecewise-Linear Topology
Colin Rourke,Brian Sanderson +1 more
TL;DR: In this article, the Poincare Conjecture and the h-Cobordism Theorem are used to prove the existence of a double-cobordist.