On Amalgamated Free Products of Residually p-Finite Groups
نویسندگان
چکیده
منابع مشابه
RESIDUALLY FINITE RATIONALLY p GROUPS
In this article we develop the theory of residually finite rationally p (RFRp) groups, where p is a prime. We first prove a series of results about the structure of finitely generated RFRp groups (either for a single prime p, or for infinitely many primes), including torsion-freeness, a Tits alternative, and a restriction on the BNS invariant. Furthermore, we show that many groups which occur n...
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...
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 کاملA NOTE ON POLYCYLIC RESIDUALLY FINITE-p GROUPS
A subgroup H of a residually finite-p group G is almost p-closed in G if H has finite p′-index in ̄̄ H, its closure with respect to the pro-p topology on G. We characterise polycyclic residually finite-p groups in which all subgroups are almost p-closed and discuss a few conditions that are sufficient for particular subgroups H to be almost p-closed. We also present, for each prime p, an example...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Algebra
سال: 1993
ISSN: 0021-8693
DOI: 10.1006/jabr.1993.1237