Decomposability of finitely generated torsion-free nilpotent groups-Reference-Cited by-同舟云学术

Decomposability of finitely generated torsion-free nilpotent groups

Published:2016-12 Issue:08 Volume:26 Page:1529-1546
ISSN:0218-1967
Container-title:International Journal of Algebra and Computation
language:en
Short-container-title:Int. J. Algebra Comput.

Author:

Baumslag Gilbert¹,Miller Charles F.²,Ostheimer Gretchen³

Affiliation:

1. Department of Mathematics and Computer Science, City College of New York, Convent Avenue 138th Street, New York, 10031, USA

2. Department of Mathematics and Statistics, University of Melbourne, Melbourne 3010, Australia

3. Department of Computer Science, 211 Adams Hall, Hofstra University, Hempstead NY 11549, USA

Abstract

We describe an algorithm for deciding whether or not a given finitely generated torsion-free nilpotent group is decomposable as the direct product of nontrivial subgroups.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218196716500673

Reference12 articles.

1. Direct decompositions of finitely generated torsion-free nilpotent groups

2. Infinitely generated subgroups of finitely presented groups. I

3. Infinitely generated subgroups of finitely presented groups. Part II

4. The algorithmic theory of polycyclic-by-finite groups

5. Open problems in combinatorial group theory. Second edition

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