Abstract
Let G be a finite group generated by n elements and defined by m relators, then G has a presentation where F free on generators x1, …, xn, and R is the normal closure in F of R1, …, Rm. The deficiency of this presentation is n – m and the deficiency of Gis the maximum over all presentations for G.
Publisher
Cambridge University Press (CUP)
Reference6 articles.
1. Minimal presentations for certain group extensions
2. On some finite groups with trivial multiplicator;Neumann;Publ. Math. Debrecen,1955
3. The deficiency of metacyclic groups;Wamsley;Proc. Amer. Math. Soc.,1970
4. On a Class of Finitely Presented Groups
5. [1] James Rodney K. , The Groups of Order p6 (p ≧ 3), Ph. D. Thesis University of Sydney, 1968.
Cited by
2 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. Bibliography;Continuation of the Notas de Matemàtica;1993
2. Some cases of the Fontaine-Mazur conjecture;Journal of Number Theory;1992-11