富足女人
发表于 2025-3-25 03:48:28
,Wenn nur die Kunden nicht wären,aphs: If . is a group and . is a generating set of ., then the paths in the associated Cayley graph Cay(.) induce a metric on ., the word metric with respect to the generating set .; unfortunately, in general, this metric depends on the chosen generating set.
我没有强迫
发表于 2025-3-25 10:55:12
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Obstacle
发表于 2025-3-25 15:24:13
Group actionsetric aspect of groups by looking at group actions, which can be viewed as a generalisation of seeing groups as symmetry groups.We start by recalling some basic concepts about group actions (Chapter 4.1).
苍白
发表于 2025-3-25 19:49:47
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含糊其辞
发表于 2025-3-25 23:36:50
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飞行员
发表于 2025-3-26 04:04:26
Ends and boundariesboundary mechanism should be a functor promoting maps and properties from the wild world of quasi-isometries to the potentially tamer world of topology. In particular, boundaries are quasi-isometry invariants; surprisingly, in many cases, boundaries know enough about the underlying metric spaces to allow for interesting rigidity results.
Assault
发表于 2025-3-26 04:49:00
0172-5939 rowth, hyperbolicity, boundary constructions and amenability.Inspired by classical geometry, geometric group theory has in turn provided a variety of applications to geometry, topology, group theory, number theory and graph theory. This carefully written textbook provides a rigorous introduction to
典型
发表于 2025-3-26 09:33:24
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cluster
发表于 2025-3-26 13:05:57
Generating groupsl present basic construction principles that allow us to generate interesting examples of groups. This includes the description of groups in terms of generators and relations and the iterative construction of groups via semi-direct products, amalgamated free products, and HNN-extensions.
extrovert
发表于 2025-3-26 19:30:08
Group actionsetric aspect of groups by looking at group actions, which can be viewed as a generalisation of seeing groups as symmetry groups.We start by recalling some basic concepts about group actions (Chapter 4.1).