Zobrazeno 1 - 10
of 127
pro vyhledávání: '"Martin R. Bridson"'
Autor:
MARTIN R. BRIDSON, HENRY WILTON
Publikováno v:
Forum of Mathematics, Sigma, Vol 5 (2017)
A permutoid is a set of partial permutations that contains the identity and is such that partial compositions, when defined, have at most one extension in the set. In 2004 Peter Cameron conjectured that there can exist no algorithm that determines wh
Externí odkaz:
https://doaj.org/article/84c570c606634e56afc72ee4b540ace3
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
Publikováno v:
Oberwolfach Reports. 19:517-576
The overall theme of the conference was geometric group theory, interpreted quite broadly. In general, geometric group theory seeks to understand algebraic properties of groups by studying their actions on spaces with various topological and geometri
Publikováno v:
Transactions of the American Mathematical Society. 372:5869-5890
We construct classes of Kähler groups that do not have finite classifying spaces and are not commensurable to subdirect products of surface groups. Each of these groups is the fundamental group of the generic fibre of a holomorphic map from a produc
Publikováno v:
Bulletin of the London Mathematical Society. 51:168-180
We consider the group $\mathfrak{X}(G)$ obtained from $G\ast G$ by forcing each element $g$ in the first free factor to commute with the copy of $g$ in the second free factor. Deceptively complicated finitely presented groups arise from this construc
We prove that certain Fuchsian triangle groups are profinitely rigid in the absolute sense, i.e. each is distinguished from all other finitely generated, residually finite groups by its set of finite quotients. We also develop a method based on chara
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3160c3eac08e8c9b0bf902980a809658
Autor:
Martin R. Bridson
We present novel constructions concerning the homology of finitely generated groups. Each construction draws on ideas of Gilbert Baumslag. There is a finitely presented acyclic group $U$ such that $U$ has no proper subgroups of finite index and every
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2cf66abeb91b659a33607fb0db2fffd8
https://doi.org/10.1515/9783110638387-003
https://doi.org/10.1515/9783110638387-003
Autor:
Martin R. Bridson
Publikováno v:
Journal of the European Mathematical Society. 18:1909-1918
We construct the first example of a finitely-presented, residually-finite group that contains an infinite sequence of non-isomorphic finitely-presented subgroups such that each of the inclusion maps induces an isomorphism of profinite completions.
We construct arithmetic Kleinian groups that are profinitely rigid in the absolute sense: each is distinguished from all other finitely generated, residually finite groups by its set of finite quotients. The Bianchi group $\mathrm{PSL}(2,\mathbb{Z}[\
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0029bdc3aab0dabc1edb1bb82103d259
Autor:
Martin R. Bridson
Based on a lecture at PCMI this chapter is structured around two sets of results, one concerning groups of automorphisms of surfaces and the other concerning the nilpotent genus of groups. The first set of results exemplifies the theme that even the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4b992fc71fc3837cc8e6070ac38e22b6
https://doi.org/10.1093/oso/9780198784913.003.0003
https://doi.org/10.1093/oso/9780198784913.003.0003