منابع مشابه
Residually Finite Actions and Crossed Products
We study a notion of residual finiteness for continuous actions of discrete groups on compact Hausdorff spaces and how it relates to the existence of norm microstates for the reduced crossed product. Our main result asserts that an action of a free group on a zero-dimensional compact metrizable space is residually finite if and only if its reduced crossed product admits norm microstates, i.e., ...
متن کاملOn Residually Finite Knot Groups
The residual finiteness of the class of groups of fibred knots, or those knot groups with finitely generated and, therefore, free commutator subgroups, has been known for some time. Using Baumslag's results on absolutely parafree groups, this paper extends the result to twist knots (Whitehead doubles of the trivial knot) and certain other classes of nonfibred knots whose minimal spanning surfac...
متن کاملOn Residually Finite Knot Groups
The residual finiteness of the class of groups of fibred knots, or those knot groups with finitely generated and, therefore, free commutator subgroups, has been known for some time. Using Baumslag's results on absolutely parafree groups, this paper extends the result to twist knots (Whitehead doubles of the trivial knot) and certain other classes of nonfibred knots whose minimal spanning surfac...
متن کاملOn Residually Finite Semigroups of Cellullar Automata
We prove that if M is a monoid and A a finite set with more than one element, then the residual finiteness of M is equivalent to that of the monoid consisting of all cellular automata over M with alphabet A.
متن کاملOn the Finite Presentation of Subdirect Products and the Nature of Residually Free Groups
We establish virtual surjection to pairs (VSP) as a general criterion for the finite presentability of subdirect products of groups: if Γ1, . . . ,Γn are finitely presented and S < Γ1×· · ·×Γn projects to a subgroup of finite index in each Γi × Γj , then S is finitely presentable, indeed there is an algorithm that will construct a finite presentation for S. We use the VSP criterion to character...
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ژورنال
عنوان ژورنال: Journal of Pure and Applied Algebra
سال: 1987
ISSN: 0022-4049
DOI: 10.1016/0022-4049(87)90136-8