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pro vyhledávání: '"Rourke, Shane O."'
Autor:
Rourke, Shane O
Let $\Lambda$ be an ordered abelian group, $\mathrm{Aut}^+(\Lambda)$ the group of order-preserving automorphisms of $\Lambda$, $G$ a group and $\alpha:G\to\mathrm{Aut}^+(\Lambda)$ a homomorphism. An $\alpha$-affine action of $G$ on a $\Lambda$-tree $
Externí odkaz:
http://arxiv.org/abs/2008.09449
Autor:
Rourke, Shane O
Let $\Lambda_0$ be an ordered abelian group. We show how an $\mathrm{ATF}(\mathbb{Z}\times\Lambda_0)$ group -- that is, a group admitting a free affine action without inversions on a $\mathbb{Z}\times\Lambda_0$-tree -- admits a natural graph of group
Externí odkaz:
http://arxiv.org/abs/1503.03788
Autor:
MORARI, VIOLETA1 violeta.morari@mtu.ie, ROURKE, SHANE O.1 shane.orourke1@mtu.ie
Publikováno v:
Bulletin of the Irish Mathematical Society. Winter2022, Issue 90, p17-23. 7p.
Autor:
Rourke, Shane O.
I. M. Chiswell has asked whether every group that admits a free isometric action (without inversions) on a $\Lambda$-tree is orderable. We give an example of a multiple HNN extension $\Gamma$ which acts freely on a $\mathbb{Z}^2$-tree but which has n
Externí odkaz:
http://arxiv.org/abs/1212.1509
Autor:
Rourke, Shane O
We initiate the study of affine actions of groups on $\Lambda$-trees for a general ordered abelian group $\Lambda$; these are actions by dilations rather than isometries. This gives a common generalisation of isometric action on a $\Lambda$-tree, and
Externí odkaz:
http://arxiv.org/abs/1112.4832
Autor:
ROURKE, SHANE O
Publikováno v:
Proceedings of the American Mathematical Society, 2015 Jan 01. 143(1), 41-43.
Externí odkaz:
http://www.jstor.org/stable/24507084
Akademický článek
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Autor:
Palmer, Catherine, Rourke, Shane O., Carroll, Clodagh, Manning, Declan, Cogan, Patricia, Morari, Violeta
Publikováno v:
MSOR Connections; 2022, Vol. 20 Issue 2, p26-36, 11p
Autor:
Rourke, Shane O.
Publikováno v:
Bulletin of the Irish Mathematical Society. Winter2012, Issue 70, p8-12. 5p.
Minutes of the Meeting of the Irish Mathematical Society: Annual General Meeting 3rd September 2010.
Autor:
Rourke, Shane O.
Publikováno v:
Bulletin of the Irish Mathematical Society. Winter2010, Issue 66, p7-11. 5p.