Journal article
A quick test for nonisomorphism of one-relator groups
Proceedings of the American Mathematical Society, Vol.81(2), pp.195-195
1981
Abstract
A sequence of integers is read off from the presentation of a finitely generated torsion-free one-relator group with nontrivial second integral homology, without recourse to group-theoretic manipulations. This test sequence is derived from the cup coproduct on the coring of the integral homology module of the group, and reflects information about the group's second lower central factor group.
Test sequences differ only if the corresponding groups are nonisomorphic. The test process can be generalised to any one-relator group with nontrivial second integral homology.
Details
- Title
- A quick test for nonisomorphism of one-relator groups
- Authors/Creators
- K.J. Horadam (Author/Creator)
- Publication Details
- Proceedings of the American Mathematical Society, Vol.81(2), pp.195-195
- Publisher
- American Mathematical Society
- Identifiers
- 991005541356807891
- Copyright
- © Copyright 1981 American Mathematical Society
- Murdoch Affiliation
- School of Mathematical and Physical Sciences
- Language
- English
- Resource Type
- Journal article
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