Erratum: W.5. Jassim, On the intersection of finitely generated subgroups of free groups, Rey. Mat. Univ. Compl.9 (1996), 67-84
نویسندگان
چکیده
منابع مشابه
On Intersections of Finitely Generated Subgroups of Free Groups
and asked if the factor 2 can be dropped. If one translates her approach (which is a slight modification of Howson's) to graph-theoretic terms, it easily shows that the answer is often "yes"in fact, for most U the answer is "yes" for all V. According to Gersten [G], the above problem has come to be known as the "Haana Neumann Conjecture." Using ideas of immersions of graphs originating from Sta...
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We prove that the classes of graded monoids, regular monoids and Kleene monoids coincide for submonoids of free groups. We also prove that it is decidable whether or not a finitely generated submonoid of a free group is graded, and solve the homomorphism and isomorphism problems for graded submonoids of free groups. This generalizes earlier results for submonoids of free monoids. MSC: 20E05; 20...
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We give an efficient algorithm to randomly generate finitely generated subgroups of a given size, in a finite rank free group. Here, the size of a subgroup is the number of vertices of its representation by a reduced graph such as can be obtained by the method of Stallings foldings. Our algorithm randomly generates a subgroup of a given size n, according to the uniform distribution over size n ...
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The proof of the Theorem proceeds by showing that it holds in some special cases involving Kleinian groups with connected limit sets, and then extending to the general case by using a decomposition argument based on the Klein-Maskit combination theorems and a careful tracking of the limit points resulting from this decomposition. We discuss various well-behaved classes of limit points in Sectio...
متن کاملIntersection of Subgroups in Free Groups and Homotopy Groups
We show that the intersection of three subgroups in a free group is related to the computation of the third homotopy group π3. This generalizes a result of Gutierrez-Ratcliffe who relate the intersection of two subgroups with the computation of π2. Let K be a twodimensional CW-complex with subcomplexes K1,K2,K3 such that K = K1 ∪ K2 ∪ K3 and K1 ∩ K2 ∩ K3 is the 1-skeleton K of K. We construct a...
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ژورنال
عنوان ژورنال: Revista Matemática Complutense
سال: 1998
ISSN: 1988-2807,1139-1138
DOI: 10.5209/rev_rema.1998.v11.n2.17238