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Combinatorial and Geometric Group Theory

Combinatorial and Geometric Group Theory
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ISBN: 9783764399108
Autor: Oleg Bogopolski
Einband/Bindung: Buch
Sprache: Englisch
Seitenzahl: 350
Erscheinungsjahr: 2010
Verlag: Springer Basel AG
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Beschreibung
The paper by O. Bogopolski and A. Vikentiev describes some particularly useful niteindexsubgroupsoftheautomorphismgroupofa nitelygeneratedfree group. One of their uses may be to attack the problem on the Kazhdan property (T) for these groups. The paper of A. Juhasz contains a solution of the di cult membership problem in a subclass of one-relator groups. Papers of F. Matucci, D. Savchuk and R. Zarzycki will attract the attention of those who want to know more about groups of transformations of the unit interval [0,1], in particular about the famous Thompson s group F and its limit properties. The paper by A.J. Duncan, V. Dieckert and A.G. Myasnikov contains a very thoroughsurveyonrewritingsystemswithnewissuesonin niterewritingsystems. The paper by L. Frenkel, A.G. Myasnikov and V.N. Remeslennikov is devoted to theproblemofhowto measuresomesubsets infreegroupsbyusingrandomwalks. The results of this paper may be used for designing algorithms that run fast on almost all inputs. This paper as well as the paper by M. Hock and B. Tsaban are highly recommended to specialists in cryptography. Finally, the paper by D. Goncalves and P. Wong is devoted to the twisted conjugacy in 2-dimensional crystallographic groups. We are very grateful to the organizations that supported these two conferences: TheconferenceinDortmundwasorganizedbyO.Bogopolski,M.-T.Bochnig, G.Rosenberger,V.Shpilrainand E.Ventura.Thisconferencewas nancially supported by DAAD (Deutscher Akademischer Austauschdienst), by DFG (Deutsche Forschungsgemeinschaft), and by the Universit at Dortmund. The URL address for its homepage is mathematik.uni-dortmund.de/ gcgta/.
Artikel-Nr.: 9783764399108
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