منابع مشابه
2 Cockcroft Properties and the Fox Ideal 3
In a study of the word problem for groups, R. J. Thompson considered a certain group F of self-homeomorphisms of the Cantor set and showed, among other things, that F is nitely presented. Using results of K. that F is the fundamental group of a nite two-complex Z 2 having Euler characteristic one and which is Cockcroft, in the sense that each map of the two-sphere into Z 2 is homologically triv...
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متن کاملUnions of Cockcroft Two-complexes
A combinatorial group-theoretic hypothesis is presented that serves as a necessary and suucient condition for a union of connected Cock-croft two-complexes to be Cockcroft. This hypothesis has a component that can be expressed in terms of the second homology of groups. The hypothesis is applied to the study of the third homology of groups given by generators and relators.
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ژورنال
عنوان ژورنال: Canadian Mathematical Bulletin
سال: 2000
ISSN: 0008-4395,1496-4287
DOI: 10.4153/cmb-2000-034-8