# The isomorphism problem for torsion free nilpotent groups of Hirsch length at most 5

The isomorphism problem for torsion free nilpotent groups of Hirsch length at most 5 AbstractWe consider the isomorphism problem for the finitely generated torsionfree nilpotent groupsof Hirsch length at most five. We show how this problem translates tosolving an explicitly given set of polynomial equations. Based onthis, we introduce a canonical form for each isomorphism type of finitelygenerated torsion free nilpotent group of Hirsch length at most 5 and,using a variationof our methods, we give an explicit description of its automorphisms. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Groups Complexity Cryptology de Gruyter

# The isomorphism problem for torsion free nilpotent groups of Hirsch length at most 5

, Volume 9 (1): 21 – May 1, 2017
21 pages

/lp/de-gruyter/the-isomorphism-problem-for-torsion-free-nilpotent-groups-of-hirsch-nND4Ew01BV
Publisher
de Gruyter
ISSN
1869-6104
eISSN
1869-6104
DOI
10.1515/gcc-2017-0004
Publisher site
See Article on Publisher Site

### Abstract

AbstractWe consider the isomorphism problem for the finitely generated torsionfree nilpotent groupsof Hirsch length at most five. We show how this problem translates tosolving an explicitly given set of polynomial equations. Based onthis, we introduce a canonical form for each isomorphism type of finitelygenerated torsion free nilpotent group of Hirsch length at most 5 and,using a variationof our methods, we give an explicit description of its automorphisms.

### Journal

Groups Complexity Cryptologyde Gruyter

Published: May 1, 2017

### References

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