Estimates of Minkowski dimensions in the space of marked groups.

DOI10.5802/afst.1141zbMath1191.20040arXivmath/0606014OpenAlexW2110404661MaRDI QIDQ2475505

Luc Guyot

Publication date: 11 March 2008

Published in: Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0606014

zbMATH Keywords

Hausdorff dimensionone-relator groupsMinkowski dimensionmarked groupsspace of groupsCantor spaceisolated groupsgroups with small cancellation

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65) Topological methods in group theory (57M07) Dimension theory in general topology (54F45) Cancellation theory of groups; application of van Kampen diagrams (20F06)

Related Items (1)

LIMITS OF METABELIAN GROUPS

Cites Work

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• An analogue of a theorem of Magnus
• The class of groups all of whose subgroups with lesser number of generators are free is generic
• The space of finitely generated groups
• Limit groups as limits of free groups.
• DEGREES OF GROWTH OF FINITELY GENERATED GROUPS, AND THE THEORY OF INVARIANT MEANS
• An example of a finitely presented amenable group not belonging to the classEG

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