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1974, ISBN 9780821802014
Book
1976, QPI series, 427 p. --
Book
1993, Lectures in mathematics ETH Zürich., ISBN 3764329211, vi, 164
Book
International Journal of Algebra and Computation, ISSN 0218-1967, 12/2016, Volume 26, Issue 8, pp. 1529 - 1546
We describe an algorithm for deciding whether or not a given finitely generated torsion-free nilpotent group is decomposable as the direct product of... 
direct decomposition | Nilpotent groups | algorithm | MATHEMATICS | SUBGROUPS | Algorithms
Journal Article
Illinois journal of mathematics, ISSN 0019-2082, 2010, Volume 54, Issue 1, pp. 315 - 325
The objective of this note is to give some alternative proofs that the intersection of the normal subgroups with torsion-free nilpotent factor groups of free... 
MATHEMATICS | ONE-RELATOR GROUPS
Journal Article
Groups, geometry and dynamics, ISSN 1661-7207, 2014, Volume 8, Issue 3, pp. 621 - 642
In this paper we study the residual nilpotence of groups defined by basic commutators. We prove that the so-called Hydra groups as well as certain of their... 
One-relator groups | Residual nilpotence | Commutator calculus | Basic commutators | MATHEMATICS | CENTRAL SERIES | ORDER | NILPOTENT GROUPS | PRODUCTS | one-relator groups | basic commutators | residual nilpotence
Journal Article
Journal of algebra, ISSN 0021-8693, 1999, Volume 219, Issue 1, pp. 16 - 79
The object of this paper, which is the first in a series of three, is to lay the foundations of the theory of ideals and algebraic sets over groups. 
MATHEMATICS | QUADRATIC EQUATIONS
Journal Article
International Journal of Algebra and Computation, ISSN 0218-1967, 06/2006, Volume 16, Issue 3, pp. 475 - 491
There is a simple group-theoretic formula for the second integral homology group of a group. This is an abelian group and there is an analogous formula for... 
MATHEMATICS | homology group | nilpotent groups | groups with unique roots
Journal Article
Transactions of the American Mathematical Society, ISSN 0002-9947, 10/2017, Volume 369, Issue 10, pp. 6823 - 6852
If G and H are finitely generated, residually nilpotent metabelian groups, H is termed para- G if there is a homomorphism of G into H which induces an... 
MATHEMATICS | MODULES | RING | LINK CONCORDANCE | INVARIANT | CONSTRUCTIONS | ALGEBRAIC CLOSURE
Journal Article
2000, Trends in mathematics., ISBN 0817641300, viii, 307
Book
Journal of group theory, ISSN 1433-5883, 09/2009, Volume 12, Issue 5, pp. 771 - 781
In 1937, B. H. Neumann constructed a family of continuously many, non-isomorphic two-generator groups. We will prove that none of the infinite groups in this... 
MATHEMATICS | Neumann, Bernhard | Research | Isomorphisms (Mathematics) | Works | Group theory | Mathematicians
Journal Article
Journal of group theory, ISSN 1433-5883, 03/2006, Volume 9, Issue 2, pp. 191 - 201
Parafree groups are groups that are residually nilpotent and have the property that their quotients by the terms of the lower central series are isomorphic to... 
MATHEMATICS
Journal Article
International Journal of Algebra and Computation, ISSN 0218-1967, 03/2009, Volume 19, Issue 2, pp. 213 - 227
We prove that the amalgamated product of free groups with cyclic amalgamations satisfying certain conditions are virtually free-by-cyclic. In case the cyclic... 
Free product | One-relator group | Free-by-cyclic | Cyclically pinched | MATHEMATICS | cyclically pinched | free product | free-by-cyclic
Journal Article
Journal of group theory, ISSN 1433-5883, 09/2007, Volume 10, Issue 5, pp. 723 - 729
We prove here that a finitely presented group with a free quotient of rank is an HNN-extension with stable letters of a finitely generated group where the... 
MATHEMATICS | SUBGROUPS
Journal Article
GROUPS GEOMETRY AND DYNAMICS, ISSN 1661-7207, 2007, Volume 1, Issue 1, pp. 1 - 20
Both the conjugacy and isomorphism problems for finitely generated nilpotent groups are recursively solvable. In some recent work, the first author, with a... 
MATHEMATICS | GENERAL ALGORITHMS | finitely presented group | isomorphism problem | residually nilpotent
Journal Article
Groups, geometry and dynamics, ISSN 1661-7207, 2010, Volume 4, Issue 4, pp. 657 - 679
In 1954 A. G. Howson proved that the intersection of two finitely generated subgroups of a free group is again finitely generated. Now the free metabelian... 
Free metabelian | Algorithms | Intersections | Wreath products | MATHEMATICS | algorithms | intersections | wreath products
Journal Article
01/2013
In this paper we study the residual nilpotence of groups defined by basic commutators. We prove that the so-called Hydra groups as well as certain of their... 
Mathematics - Group Theory
Journal Article
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