A McCool Whitehead type theorem for finitely generated subgroups of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mi mathvariant="sans-serif">Out</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mi>F</mml:mi> <mml:mi>n</mml:mi> </mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math>
نویسندگان
چکیده
S. Gersten announced an algorithm that takes as input two finite sequences K →=(K 1 ,⋯,K N ) and ′ of conjugacy classes finitely generated subgroups F n outputs:
منابع مشابه
A Krengel-type theorem for finitely generated nilpotent groups
has density one in Z with respect to some sequence of intervals Ik = [ak, bk] with bk−ak → ∞. (This means that d{Ik}(S) = lim k→∞ |S∩Ik| bk−ak+1 = 1.) A vector f ∈ H is called weakly wandering if there is an infinite set S ⊆ Z such that for any n,m ∈ S, n 6= m, one has 〈Uf, Uf〉 = 0. The following theorem due to U. Krengel gives a characterization of weak mixing in terms of weakly wandering vect...
متن کاملA characterization of finitely generated multiplication modules
Let $R$ be a commutative ring with identity and $M$ be a finitely generated unital $R$-module. In this paper, first we give necessary and sufficient conditions that a finitely generated module to be a multiplication module. Moreover, we investigate some conditions which imply that the module $M$ is the direct sum of some cyclic modules and free modules. Then some properties of Fitting ideals o...
متن کاملRandom Generation of Finitely Generated Subgroups of a Free Group
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 ...
متن کاملCounting for conjugacy classes of subgroups in finitely generated group ∗
A new general formula for calculation of number of conjugacy classes of subgroups of given index in a finitely generated group is obtained.
متن کاملThe Modular Group A Finitely Generated Group with Interesting Subgroups
The action of Möbius transformations with real coefficients preserves the hyperbolic metric in the upper half-plane model of the hyperbolic plane. The modular group is an interesting group of hyperbolic isometries generated by two Möbius transformations, namely, an order-two element, g2 HzL = -1 ê z, and an element of infinite order, g• HzL = z + 1. Viewing the action of the group elements on a...
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: Annales Henri Lebesgue
سال: 2023
ISSN: ['2644-9463']
DOI: https://doi.org/10.5802/ahl.159