Zobrazeno 1 - 10
of 62
pro vyhledávání: '"Peter H. Kropholler"'
This volume provides state-of-the-art accounts of exciting recent developments in the rapidly-expanding fields of geometric and cohomological group theory. The research articles and surveys collected here demonstrate connections to such diverse areas
Geometric group theory is a vibrant subject at the heart of modern mathematics. It is currently enjoying a period of rapid growth and great influence marked by a deepening of its fertile interactions with logic, analysis and large-scale geometry, and
Autor:
Peter H. Kropholler
Publikováno v:
Groups, Geometry, and Dynamics. 16:153-178
Autor:
Peter H. Kropholler, Lison Jacoboni
Publikováno v:
Annales Henri Lebesgue. 3:981-998
This volume reflects the fruitful connections between group theory and topology. It contains articles on cohomology, representation theory, geometric and combinatorial group theory. Some of the world's best known figures in this very active area of m
Publikováno v:
Proceedings of the Edinburgh Mathematical Society
Proceedings of the Edinburgh Mathematical Society, Cambridge University Press (CUP), 2021, pp.1-8. ⟨10.1017/S0013091521000663⟩
Proceedings of the Edinburgh Mathematical Society, Cambridge University Press (CUP), 2021, pp.1-8. ⟨10.1017/S0013091521000663⟩
We generalize results of Thomas, Allcock, Thom–Petersen, and Kar–Niblo to the first $\ell ^{2}$-Betti number of quotients of certain groups acting on trees by subgroups with free actions on the edge sets of the graphs.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::916a97c0328072759e1d8bd86cb79047
https://hal.archives-ouvertes.fr/hal-03424496
https://hal.archives-ouvertes.fr/hal-03424496
In this paper we prove that the homological dimension of an elementary amenable group over an arbitrary commutative coefficient ring is either infinite or equal to the Hirsch length of the group. Established theory gives simple group theoretical crit
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3192cce070a4a9c603de5e223a6c23d7
https://eprints.soton.ac.uk/428835/
https://eprints.soton.ac.uk/428835/
Publikováno v:
Bulletin of the London Mathematical Society. 50:17-25
This thesis is concerned with the study of certain metabelian groups which can be viewed as split extensions of a free abelian group Q by a finitely generated Q-module A. In particular we want to know which cohomological finiteness properties these g
Publikováno v:
Topological Algebra and its Applications, Vol 8, Iss 1, Pp 1-4 (2020)
We show that the inert subgroups of the lamplighter group fall into exactly five commensurability classes. The result is then connected with the theory of totally disconnected locally compact groups and with algebraic entropy.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::60954dc9ebde87a2254c567f473a068c
Autor:
Peter H. Kropholler, Karl Lorensen
A ring $R$ satisfies the $\textit{strong rank condition}$ (SRC) if, for every natural number $n$, the free $R$-submodules of $R^n$ all have rank $\leq n$. Let $G$ be a group and $R$ a ring strongly graded by $G$ such that the base ring $R_1$ is a dom
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::314a8e0ad460d03678c875b2517ea024