Results 1 to 10 of about 51 (50)

Profinite extensions of centralizers and the profinite completion of limit groups [PDF]

Revista Matemática Iberoamericana, 2019
We introduce and investigate a class of profinite groups defined via extensions of centralizers analogous to the extensively studied class of finitely generated fully residually free groups, that is, limit groups (in the sense of Z. Sela). From the fact that the profinite completion of limit groups belong to this class, results on their group ...
Pavel A. Zalesskiĭ, Theo A.D. Zapata
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Virtual homology of limit groups and profinite rigidity of direct products

, 2022
We show that the virtual second Betti number of a finitely generated, residually free group $G$ is finite if and only if $G$ is either free, free abelian or the fundamental group of a closed surface. We also prove a similar statement in higher dimensions. We then develop techniques involving rank gradients of pro-$p$ groups, which allow us to recognise
Fruchter, Jonathan, Morales, Ismael
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Homological approximations for profinite and pro-p limit groups [PDF]

Communications in Algebra, 2019
We study homological approximations of the profinite completion of a limit group (see Thm.~A) and obtain the analogous of Bridson and Howie's Theorem for the profinite completion of a non-abelian limit group (see Thm.~B).
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An Exposition of the Connection between Limit-Periodic Potentials and Profinite Groups [PDF]

Mathematical Modelling of Natural Phenomena, 2010
We classify the hulls of different limit-periodic potentials and show that the hull of a limit-periodic potential is a procyclic group. We describe how limit-periodic potentials can be generated from a procyclic group and answer arising questions. As an expository paper, we discuss the connection between limit-periodic potentials and profinite groups ...
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The inverse limit topology and profinite descent on Picard groups in K(n)-local homotopy theory

Advances in Mathematics
In this paper, we study profinite descent theory for Picard groups in $K(n)$-local homotopy theory through their inverse limit topology. Building upon Burklund's result on the multiplicative structures of generalized Moore spectra, we prove that the module category over a $K(n)$-local commutative ring spectrum is equivalent to the limit of its base ...
Li, Guchuan, Zhang, Ningchuan
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Integrable and Chaotic Systems Associated with Fractal Groups. [PDF]

Entropy (Basel), 2021
Grigorchuk R, Samarakoon S.
europepmc   +1 more source

A stochastic interpretation of the Riemann zeta function. [PDF]

Proc Natl Acad Sci U S A, 1993
Alexander KS, Baclawski K, Rota GC.
europepmc   +1 more source

On the profinite rigidity of free and surface groups. [PDF]

Math Ann
Morales I.
europepmc   +1 more source

Adjoint <i>L</i>-functions, congruence ideals, and Selmer groups over GL n. [PDF]

Res Number Theory
Fong HL.
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The Eisenstein ideal at prime-square level has constant rank. [PDF]

Proc Natl Acad Sci U S A
Lang J, Wake P.
europepmc   +1 more source