Zobrazeno 1 - 10
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pro vyhledávání: '"Peter A. Linnell"'
Autor:
Peter A. Linnell, William Craig
Publikováno v:
Journal of Algebra and Its Applications. 21
We prove that a uniform pro-p group with no nonabelian free subgroups has a normal series with torsion-free abelian factors. We discuss this in relation to unique product groups. We also consider generalizations of Hantzsche-Wendt groups.
8 page
8 page
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a4b1e6ed7766c8060a0c85114b32feac
https://doi.org/10.1142/s0219498822500256
https://doi.org/10.1142/s0219498822500256
Autor:
Wolfgang Lück, Peter A. Linnell
Publikováno v:
Annals of K-Theory
Ann. K-Theory 3, no. 1 (2018), 33-53
Ann. K-Theory 3, no. 1 (2018), 33-53
Let Wh^w(G) be the K_1-group of square matrices over the integral group ring ZG which are not necessarily invertible but induce weak isomorphisms after passing to Hilbert space completions. Let D(G) be the division closure of ZG in the algebra U(G) o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e8c16cb8a9b629837ba21ad39ddc1649
Publikováno v:
Banach J. Math. Anal. 11, no. 4 (2017), 945-962
Let $G$ be a locally compact group. We examine the problem of determining when nonzero functions in $L^2(G)$ have linearly independent translations. In particular, we establish some results for the case when $G$ has an irreducible, square integrable,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7a6cbce8a932c4cefca2015de0f55a32
https://projecteuclid.org/euclid.bjma/1504836178
https://projecteuclid.org/euclid.bjma/1504836178
Autor:
Dave Witte Morris, Peter A. Linnell
Publikováno v:
Groups, Geometry, and Dynamics. 8:467-478
We show that every amenable group with a locally invariant partial order has a left-invariant total order (and is therefore locally indicable). We also show that if a group G admits a left-invariant total order, and H is a locally nilpotent subgroup
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f6123fbd46ddcde8f237d1c8d879526f
https://doi.org/10.4171/ggd/234
https://doi.org/10.4171/ggd/234
Publikováno v:
Groups, Geometry, and Dynamics. 8:311-329
We study the asymptotic growth of Betti numbers in tower of finite covers and provide simple proofs of approximation results, which were previously obtained by Calegari-Emerton, in the generality of arbitrary p-adic analytic towers of covers. Further
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3b43bada521a6492c13398943246ec1f
https://doi.org/10.4171/ggd/227
https://doi.org/10.4171/ggd/227
Publikováno v:
Geometry, Topology, and Dynamics in Negative Curvature
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::52d7507cb905e81416ec07ba4861d901
https://doi.org/10.1017/cbo9781316275849.007
https://doi.org/10.1017/cbo9781316275849.007
Publikováno v:
Geometriae Dedicata. 158:261-266
We prove the strong Atiyah conjecture for right-angled Artin groups and right-angled Coxeter groups. More generally, we prove it for groups which are certain finite extensions or elementary amenable extensions of such groups.
Minor changes
Minor changes
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4227629558187895438c3e1f617cfc67
https://doi.org/10.1007/s10711-011-9631-y
https://doi.org/10.1007/s10711-011-9631-y
Publikováno v:
Proceedings of the American Mathematical Society. 136:3449-3459
In this paper we compute the Galois cohomology of the pro-p completion of primitive link groups. Here, a primitive link group is the fundamental group of a tame link in the 3-sphere whose linking number diagram is irreducible modulo p (e.g. none of t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6becf62b36b134318f387e0243769f21
https://doi.org/10.1090/s0002-9939-08-09395-7
https://doi.org/10.1090/s0002-9939-08-09395-7
Autor:
Peter A. Linnell, Thomas Schick
Publikováno v:
Journal of the American Mathematical Society. 20:1003-1051
The Atiyah conjecture for a discrete group G states that the $L^2$-Betti numbers of a finite CW-complex with fundamental group G are integers if G is torsion-free and are rational with denominators determined by the finite subgroups of G in general.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::96aa6dd905032402d0bfbcb2a9d972f2
https://doi.org/10.1090/s0894-0347-07-00561-9
https://doi.org/10.1090/s0894-0347-07-00561-9
Autor:
Peter A. Linnell, Warren Dicks
Publikováno v:
Mathematische Annalen. 337:855-874
We determine the L^2-Betti numbers of all one-relator groups and all surface-plus-one-relation groups (surface-plus-one-relation groups were introduced by Hempel who called them one-relator surface groups). In particular we show that for all such gro
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bd232c843d4e97a709dec2bfcc8eb96a
https://doi.org/10.1007/s00208-006-0058-y
https://doi.org/10.1007/s00208-006-0058-y