Infinite Groups: Geometric, Combinatorial and Dynamical Aspects
Buch in deiner Nähe kaufen
Beschreibung
This book offers a panorama of recent advances in the theory of infinite groups. It contains survey papers contributed by leading specialists in group theory and other areas of mathematics. Topics addressed in the book include amenable groups, Kaehler groups, automorphism groups of rooted trees, rigidity, C*-algebras, random walks on groups, pro-p groups, Burnside groups, parafree groups, and Fuchsian groups. The accent is put on strong connections between group theory and other areas of mathematics, such as dynamical systems, geometry, operator algebras, probability theory, and others. This interdisciplinary approach makes the book interesting to a large mathematical audience.
Contributors:
G. Baumslag
A.V. Borovik
T. Delzant
W. Dicks
E. Formanek
R. Grigorchuk
M. Gromov
P. de la Harpe
A. Lubotzky
W. Lück
A.G. Myasnikov
C. Pache
G. Pisier
A. Shalev
S. Sidki
E. Zelmanov
Survey papers on major topics of combinatorial, geometric and asymptotic group theory Interdiscpiplinary approach: the primary focus is on strong connections between group theory and other areas of mathematics, such as ergodic theory and dynamical systems, geometry and topology, probability theory, operator algebras Representative selection of recent developments in a very active area of mathematical research Includes supplementary material: sn.pub/extras
Autor*in
Laurent Bartholdi
Themen in »Infinite Groups: Geometric, Combinatorial and Dynamical Aspects«
Analysis and probability of groups Asymptotic group theory Combinatorial group theory Geometry of groups Group theory mapping combinatorics