Zobrazeno 1 - 10
of 43
pro vyhledávání: '"Michael L. Mihalik"'
Autor:
Matthew Haulmark, Michael L. Mihalik
Publikováno v:
Journal of Topology and Analysis. 15:107-153
Suppose a finitely generated group $G$ is hyperbolic relative to $\mathcal P$ a set of proper finitely generated subgroups of $G$. Established results in the literature imply that a "visual" metric on $\partial (G,\mathcal P)$ is "linearly connected"
Autor:
Eric Swenson, Michael L. Mihalik
Publikováno v:
Journal of Topology. 14:39-61
Suppose $G$ is a 1-ended finitely generated group that is hyperbolic relative to P a finite collection of 1-ended finitely generated subgroups. Our main theorem states that if the boundary $\partial (G, P)$ has no cut point, then $G$ has semistable f
Publikováno v:
Canadian Journal of Mathematics. 72:1275-1303
A finitely presented 1-ended group $G$ has semistable fundamental group at infinity if $G$ acts geometrically on a simply connected and locally compact ANR $Y$ having the property that any two proper rays in $Y$ are properly homotopic. This property
Publikováno v:
Algebr. Geom. Topol. 20, no. 2 (2020), 601-642
Wright showed that, if a 1-ended simply connected locally compact ANR Y with pro-monomorphic fundamental group at infinity admits a proper Z-action, then that fundamental group at infinity can be represented by an inverse sequence of finitely generat
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1d33e135ec09a70c792e7907c5ce72a1
http://arxiv.org/abs/1611.01807
http://arxiv.org/abs/1611.01807
Autor:
Michael L. Mihalik
Publikováno v:
Algebr. Geom. Topol. 16, no. 6 (2016), 3615-3640
A subgroup $H$ of a group $G$ is $commensurated$ in $G$ if for each $g\in G$, $gHg^{-1}\cap H$ has finite index in both $H$ and $gHg^{-1}$. If there is a sequence of subgroups $H=Q_0\prec Q_1\prec ...\prec Q_{k}\prec Q_{k+1}=G$ where $Q_i$ is commens
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1127da243b420317b0f64853e13fb9fa
https://projecteuclid.org/euclid.agt/1510841271
https://projecteuclid.org/euclid.agt/1510841271
Autor:
Steven T. Tschantz, Michael L. Mihalik
Publikováno v:
Journal of Pure and Applied Algebra. 216(5):1102-1117
Given a class of groups C, a group G is strongly accessible over C if there is a bound on the number of terms in a sequence L(1), L(2), ..., L(n) of graph of groups decompositions of G with edge groups in C such that L(1) is the trivial decomposition
Autor:
Steven T. Tschantz, Michael L. Mihalik
Publikováno v:
Groups, Geometry, and Dynamics. :173-198
A Coxeter system is an ordered pair .W;S/ where S is the generating set in a particular type of presentation for the Coxeter groupW . A subgroup ofW is called special if it is generated by a subset ofS. Amalgamated product decompositions of a Coxeter
Autor:
Michael L. Mihalik
Publikováno v:
Transactions of the American Mathematical Society. 359:4297-4325
We prove the even isomorphism theorem for Coxeter groups
36 pages 8 figures
36 pages 8 figures
Publikováno v:
Geometriae Dedicata. 120:1-17
For n ≥ 0, we exhibit CAT(0) groups that are n-connected at infinity, and have boundary which is (n − 1)-connected, but this boundary has non-trivial nth-homotopy group. In particular, we construct 1-ended CAT(0) groups that are simply connected
Autor:
Michael L. Mihalik, Patrick Bahls
Publikováno v:
Geometriae Dedicata. 110:63-80
If (W,S) is a Coxeter system, then an element of W is a reflection if it is conjugate to some element of S. To each Coxeter system there is an associated Coxeter diagram. A Coxeter system is called reflection preserving if every automorphism of W pre