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The Compressed Word Problem for Groups

種類:
電子ブック
責任表示:
by Markus Lohrey
出版情報:
New York, NY : Springer New York : Imprint: Springer, 2014
著者名:
シリーズ名:
SpringerBriefs in Mathematics ;
ISBN:
9781493907489 [1493907484]  CiNii Books  Calil
注記:
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 author presents 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 of current research which makes the book especially appealing for students looking for a currently active research topic at the intersection of group theory and computer science. The word problem introduced in 1910 by Max Dehn is 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 f
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