WorldCat Identities

Arzhantseva, Goulnara N.

Overview
Works: 18 works in 40 publications in 1 language and 586 library holdings
Genres: Conference papers and proceedings 
Roles: Author, Editor, 958, Opponent
Classifications: QA174.2, 512.2
Publication Timeline
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Most widely held works by Goulnara N Arzhantseva
Limits of graphs in group theory and computer science( Book )

6 editions published in 2009 in English and held by 93 WorldCat member libraries worldwide

Geometric group theory : Geneva and Barcelona conferences by Goulnara N Arzhantseva( Book )

17 editions published in 2007 in English and held by 80 WorldCat member libraries worldwide

This volume assembles research papers in geometric and combinatorial group theory. This wide area may be defined as the study of those groups that are defined by their action on a combinatorial or geometric object, in the spirit of Klein's programme. The contributions range over a wide spectrum: limit groups, groups associated with equations, with cellular automata, their structure as metric objects, their decomposition, etc. Their common denominator is the language of group theory, used to express and solve problems ranging from geometry to logic
Algebra and Geometry( Book )

1 edition published in 2007 in English and held by 2 WorldCat member libraries worldwide

The SQ-universality and residual properties of relatively hyperbolic groups by Goulnara N Arzhantseva( )

1 edition published in 2007 in English and held by 1 WorldCat member library worldwide

Compression functions of uniform embeddings of groups into Hilbert and Banach spaces( )

1 edition published in 2007 in English and held by 1 WorldCat member library worldwide

Geometric Group Theory Geneva and Barcelona Conferences by Barcelona Conference in Group Theory( )

2 editions published in 2007 in English and held by 1 WorldCat member library worldwide

On Uniform and integrable measure equivalence between discrete groups by Kajal Das( )

1 edition published in 2016 in English and held by 1 WorldCat member library worldwide

Ma thèse se situe à l'intersection de \textit {la théorie des groupes géométrique} et \textit{la théorie des groupes mesurée}. Une question majeure dans la théorie des groupes géométrique est d'étudier la classe de quasi-isométrie (QI) et la classe d'équivalence mesurée (ME) d'un groupe, respectivement. $L^p$-équivalence mesurée est une relation d'équivalence qui est définie en ajoutant des contraintes géométriques avec d'équivalence mesurée. En plus, QI est une condition géométrique. Il est une question naturelle, si deux groupes sont QI et ME, si elles sont $L^p$-ME pour certains $p>0$. Dans mon premier article, en collaboration avec R. Tessera, nous répondons négativement à cette question pour $p\geq 1$, montrant que l'extension centrale canonique d'un groupe surface de genre plus élevé ne sont pas $L^1$-ME pour le produit direct de ce groupe de surface avec $\mathbb{Z}$ (alors qu'ils sont à la fois quasi-isométrique et équivalente mesurée).Dans mon deuxième papier, j'ai observé un lien général entre la géométrie des expandeurs, defini comme une séquence des quotients finis ( l'espace de boîte) d'un groupe finiment engendré, et les propriétés mesurée theorique du groupe. Plus précisément, je l'ai prouvé que si deux <<espaces de boîte>> sont quasi-isométrique, les groupes correspondants doivent être <<mesurée équivalente uniformément >>, une notion qui combine à la fois QI et ME. Je prouve aussi une version de ce résultat pour le plongement grossière, ce qui permet de distinguer plusieurs classe des expandeurs. Par exemple, je montre que les expandeurs associé à $SL(m, \mathbb{Z})$ ne grossièrement plongent à les expandeurs associés à $SL_n(\mathbb{Z})$ si $m>n$
Uniform non-amenability( )

1 edition published in 2005 in English and held by 1 WorldCat member library worldwide

A lower bound on the growth of word hyperbolic groups by Goulnara N Arzhantseva( )

1 edition published in 2006 in English and held by 1 WorldCat member library worldwide

On the Cayley graph of a generic finitely presented group by Goulnara N Arzhantseva( )

1 edition published in 2004 in English and held by 1 WorldCat member library worldwide

Metrics on diagram groups and uniform embeddings in a Hilbert space by Goulnara N Arzhantseva( )

1 edition published in 2006 in English and held by 1 WorldCat member library worldwide

Compression functions of uniform embeddings of groups into Hilbert and Banach spaces by Goulnara N Arzhantseva( Book )

1 edition published in 2007 in English and held by 1 WorldCat member library worldwide

A dichotomy for finitely generated subgroups of word hyperbolic groups by Goulnara N Arzhantseva( )

1 edition published in 2006 in English and held by 1 WorldCat member library worldwide

A property of subgroups of infinite index in a free group by Goulnara N Arzhantseva( Book )

1 edition published in 1999 in English and held by 1 WorldCat member library worldwide

Geometry group theory : Geneva and Barcelona conferences( Book )

1 edition published in 2007 in English and held by 1 WorldCat member library worldwide

Relatively hyperbolic groups are C*-simple by Goulnara N Arzhantseva( )

1 edition published in 2007 in English and held by 1 WorldCat member library worldwide

On quasiconvex subgroups of word hyperbolic groups by Goulnara N Arzhantseva( Book )

1 edition published in 1999 in English and held by 1 WorldCat member library worldwide

A property of subgroups of infinite index in a free group by Goulnara N Arzhantseva( )

1 edition published in 2000 in English and held by 1 WorldCat member library worldwide

 
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Audience Level
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  Kids General Special  
Audience level: 0.65 (from 0.52 for Geometric ... to 0.98 for Geometry g ...)

Limits of graphs in group theory and computer science
Alternative Names
Arjantseva, Goulnara N.

Arjantseva, Goulnara N. 1973-

Arzhantseva, Goulnara N.

Goulnara Arzhantseva Russian mathematician and university teacher

Goulnara Arzhantseva Russisch wiskundige

Goulnara Arzhantseva russische Mathematikerin

Languages
English (40)

Covers
Geometric group theory : Geneva and Barcelona conferencesAlgebra and GeometryGeometry group theory : Geneva and Barcelona conferences