Coronary
发表于 2025-3-23 12:16:39
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可互换
发表于 2025-3-23 16:21:41
Cayley graphsA fundamental question of geometric group theory is how groups can be viewed as geometric objects; one way to view a (finitely generated) group as a geometric object is via Cayley graphs:
Affluence
发表于 2025-3-23 21:17:55
Growth types of groupsThe first quasi-isometry invariant we discuss in detail is the growth type. We essentially measure the “volume” of balls in a given finitely generated group and study the asymptotic behaviour when the radius tends to infinity.
时代错误
发表于 2025-3-23 23:16:20
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冰雹
发表于 2025-3-24 02:30:35
Amenable groupsThe notion of amenability revolves around the leitmotiv of (almost) invariance. Different interpretations of this leitmotiv lead to different characterisations of amenable groups, e.g., via invariant means, Følner sets (i.e., almost invariant finite subsets), decomposition properties, or fixed point properties.
险代理人
发表于 2025-3-24 08:45:17
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pacifist
发表于 2025-3-24 11:30:57
Geometric Group Theory978-3-319-72254-2Series ISSN 0172-5939 Series E-ISSN 2191-6675
会犯错误
发表于 2025-3-24 15:55:53
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Trypsin
发表于 2025-3-24 20:27:28
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有害处
发表于 2025-3-25 00:14:17
Definition of Drowning: A Progress Reportetric 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).