The Compressed Word Problem for Groups

Language: English

Published by Springer, Springer Apr 2014, 2014

1493907476 / 9781493907472

Series: Book 42 of 155 - SpringerBriefs in Mathematics

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This item is printed on demand - Print on Demand Titel. Neuware -The Compressed Word Problem for Groups provides a detailed exposition of known results on the compressed word problem, emphasizing efficient algorithms for the compressed word problem in various groups.The authorpresents the necessary background along with the most recent results on the compressed word problem to create a cohesive self-contained book accessible to computer scientists as well as mathematicians. Readers will quickly reach the frontier ofcurrent research which makes the book especially appealing for students looking for a currently active research topic at theintersection of group theory and computer science. The word problem introduced in 1910 by Max Dehnis one of the most important decision problems in group theory. For many groups, highly efficient algorithms for the word problem exist. In recent years, a new technique based on data compression for providing more efficient algorithms for word problems, has been developed, by representing long words over group generators in a compressed form using a straight-line program. Algorithmic techniques used for manipulating compressed words has shown that the compressed word problem can be solved in polynomial time for a large class of groups such as free groups, graph groups and nilpotent groups. These results have important implications for algorithmic questions related to automorphism groups.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 168 pp. Englisch. …

Seller Inventory # 9781493907472

Title
The Compressed Word Problem for Groups
Author
Markus Lohrey
Publisher
Springer, Springer Apr 2014
Publication year
2014
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
1493907476
ISBN 13
9781493907472
Item weight
265 grams
Dimensions
235x155x10 mm
Series
Book 42 of 155: SpringerBriefs in Mathematics

buchversandmimpf2000

Emtmannsberg, BAYE, Germany

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