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ISBN 10: 3764399104
ISBN 13: 978-3764399108
Author: Oleg Bogopolski, Inna Bumagin, Olga Kharlampovich, Enric Ventura
The paper by O. Bogopolski and A. Vikentiev describes some particularly useful finite-index subgroups of the automorphism group of a finitely generated free group. One of their applications may be in addressing the problem of Kazhdan’s property (T) for these groups.
The paper by A. Juhász presents a solution to the difficult membership problem in a subclass of one-relator groups.
The papers by F. Matucci, D. Savchuk, and R. Zarzycki will attract the attention of readers interested in groups of transformations of the unit interval (0, 1], particularly in the famous Thompson’s group F and its limit properties.
The paper by A. J. Duncan, V. Diekert, and A. G. Myasnikov contains a thorough survey on rewriting systems, including new developments in infinite rewriting systems.
The paper by L. Frenkel, A. G. Myasnikov, and V. N. Remeslennikov is devoted to the problem of measuring subsets in free groups using random walks. The results may be useful for designing algorithms that perform efficiently on most inputs. This paper, along with the paper by M. Hock and B. Tsaban, is highly recommended for specialists in cryptography.
Finally, the paper by D. Gonçalves and P. Wong focuses on twisted conjugacy in 2-dimensional crystallographic groups.
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Tags: Oleg Bogopolski, Inna Bumagin, Olga Kharlampovich, Enric Ventura, Combinatorial, Geometric, Group Theory, Dortmund, Ottawa, Montreal, Conferences