O ct 2 00 5 Subgroups of direct products of two limit groups
نویسندگان
چکیده
If Γ 1 and Γ 2 are limit groups and S ⊂ Γ 1 × Γ 2 is of type FP 2 then S has a subgroup of finite index that is a product of at most two limit groups.
منابع مشابه
Generalized Baer-Invariant of a Pair of Groups and the Direct Limit
In this paper we introduce the concept of generalized Baer-invariant of a pair of groups with respect to two varieties ? and ? of groups. We give some inequalities for the generalized Baer-invariant of a pair of finite groups, when ? is considered to be the Schur-Baer variety. Further, we present a sufficient condition under which the order of the generalized Baer-invariant of a pair of finite ...
متن کامل. A G ] 1 6 O ct 2 00 3 RECONSTRUCTION OF FUNCTION FIELDS
— We study the structure of abelian subgroups of Galois groups of function fields of surfaces.
متن کاملnon-divisibility for abelian groups
Throughout all groups are abelian. We say a group G is n-divisible if nG = G. If G has no non-zero n-divisible subgroups for all n>1 then we say that G is absolutely non-divisible. In the study of class C consisting all absolutely non-divisible groups such as G, we come across the sub groups T_p(G) = the sum of all p-divisible subgroups and rad_p(G) = the intersection of all p^nG. The proper...
متن کاملSubgroups of direct products of limit groups
If Γ1, . . . ,Γn are limit groups and S ⊂ Γ1 × · · · × Γn is of type FPn(Q) then S contains a subgroup of finite index that is itself a direct product of at most n limit groups. This answers a question of Sela.
متن کاملThe Sylow Subgroups of the Symmetric Groups
The aim of this paper is to give a direct approach to the study of the Sylow ^-subgroups Sn of the symmetric group of degree pn. [We assume throughout that p^2.] Many of the results are already known and are treated in a paper by Kaloujnine where he uses a particular representation by means of "reduced polynomials."1 It has seemed worth while to restate some of his results using the concept of ...
متن کامل