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pro vyhledávání: '"WILLIS, GEORGE A."'
Autor:
Willis, George A.
A general method for finding subgroups of a totally disconnected, locally compact groups having flat-rank greater than 1 is described. This method uses the internal structure of the group, notably the Levi subgroup of a given flat group, in order to
Externí odkaz:
http://arxiv.org/abs/2302.13196
Autor:
Carter, Max, Willis, George A.
We study analogues of Cartan decompositions of Lie groups for totally disconnected locally compact groups. It is shown using these decompositions that a large class of totally disconnected locally compact groups acting on trees and buildings have the
Externí odkaz:
http://arxiv.org/abs/2112.11744
We present a selection of results contributing to a structure theory of totally disconnected locally compact groups.
Comment: Prepared for the proceedings of the ICM2022 (25 pages)
Comment: Prepared for the proceedings of the ICM2022 (25 pages)
Externí odkaz:
http://arxiv.org/abs/2110.05991
Autor:
Willis, George A.
Closed subgroups of the group of isometries of the regular tree $\treeq$ that fix an end of the tree and are vertex-transitive are shown to correspond, on one hand, to self-replicating groups acting on rooted trees and, on the other hand, to elements
Externí odkaz:
http://arxiv.org/abs/2008.05220
Autor:
Glockner, Helge, Willis, George A.
The authors have shown previously that every locally pro-p contraction group decomposes into the direct product of a p-adic analytic factor and a torsion factor. It has long been known that p-adic analytic contraction groups are nilpotent. We show he
Externí odkaz:
http://arxiv.org/abs/2006.10999
Autor:
Carter, Max, Willis, George A.
Publikováno v:
Bull. Aust. Math. Soc. 103 (2021) 104-112
Motivated by the Bruhat and Cartan decompositions of general linear groups over local fields, double cosets of the group of label preserving automorphisms of a label-regular tree over the fixator of an end of the tree and over maximal compact open su
Externí odkaz:
http://arxiv.org/abs/2003.09110
Publikováno v:
AUSTRALASIAN JOURNAL OF COMBINATORICS 78.1 (2020): 154-176
We define a free product of connected simple graphs that is equivalent to several existing definitions when the graphs are vertex-transitive but differs otherwise. The new definition is designed for the automorphism group of the free product to be as
Externí odkaz:
http://arxiv.org/abs/2002.10639
Groups of almost upper triangular infinite matrices with entries indexed by integers are studied. It is shown that, when the matrices are over a finite field, these groups admit a nondiscrete totally disconnected, locally compact group topology and a
Externí odkaz:
http://arxiv.org/abs/1911.09956
Autor:
Glockner, Helge, Willis, George A.
A locally compact contraction group is a pair (G,f) where G is a locally compact group and f an automorphism of G which is contractive in the sense that the forward orbit under f of each g in G converges to the neutral element e, as n tends to infini
Externí odkaz:
http://arxiv.org/abs/1804.01267
It is shown that a flat subgroup, $H$, of the totally disconnected, locally compact group $G$ decomposes into a finite number of subsemigroups on which the scale function is multiplicative. The image, $P$, of a multiplicative semigroup in the quotien
Externí odkaz:
http://arxiv.org/abs/1710.00439