Abstract
AbstractSome new classes of finite groups with zero deficiency presentations, that is to say presentations with as few defining relations as generators, are exhibited. The presentations require 3 generators and 3 defining relations; the groups so presented can also be generated by 2 of their elements, but it is not known whether they can be defined by 2 relations in these generators, and it is conjectured that in general they can not. The groups themselves are direct products or central products of binary polyhedral groups with cyclic groups, the order of the cyclic factor being arbitrary.
Publisher
Cambridge University Press (CUP)
Subject
General Mathematics,Statistics and Probability
Reference15 articles.
1. Aufgave 84;Threlfall;Jber. Deutsche Math. Verein.,1930
2. Zweite Lösung der Aufgabe 84;Seifert;Jber. Deutsche Math. Verein.,1932
3. Topics in the Theory of Group Presentations
4. Presentations of the Trefoil Group
Cited by
5 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献
1. Bernhard Hermann Neumann AC. 15 October 1909 — 21 October 2002;Biographical Memoirs of Fellows of the Royal Society;2010-01
2. Bibliography;Continuation of the Notas de Matemàtica;1993
3. Some new efficient soluble groups;Communications in Algebra;1990-01
4. On the efficiency of some direct powers of groups;Lecture Notes in Mathematics;1990
5. More on finite groups with few defining relations;Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics;1989-02