Irreducible Cyclic Presentations of the Trivial Group

DOI10.1080/10586458.2003.10504516zbMath1062.20036OpenAlexW1966519621MaRDI QIDQ4651440

George Havas, Edmund F. Robertson

Publication date: 21 February 2005

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.em/1087568024

zbMATH Keywords

algebraic computationstrivial groupirreducible cyclic presentations

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Generators, relations, and presentations of groups (20F05) Software, source code, etc. for problems pertaining to group theory (20-04)

Related Items (6)

LARGENESS AND SQ-UNIVERSALITY OF CYCLICALLY PRESENTED GROUPS ⋮ On a certain class of cyclically presented groups. ⋮ ON A FREIHEITSSATZ FOR CYCLIC PRESENTATIONS ⋮ Intersections of Magnus subgroups and embedding theorems for cyclically presented groups. ⋮ CYCLICALLY PRESENTED GROUPS AND RESULTANTS ⋮ On Irreducible Cyclic Presentations of the Trivial Group

Uses Software

• GAP
• ACE

Cites Work

• BREADTH-FIRST SEARCH AND THE ANDREWS–CURTIS CONJECTURE
• Balanced Presentations of the Trivial Group
• GENETIC ALGORITHMS AND THE ANDREWS–CURTIS CONJECTURE
• Proving a group trivial made easy: A case study in coset enumeration
• Cyclic Presentations of the Trivial Group
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