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Decision problems in classes of group presentations with uniformly solvable word problem

โœ Scribed by Jody Lockhart


Book ID
112501354
Publisher
Springer
Year
1981
Tongue
English
Weight
367 KB
Volume
37
Category
Article
ISSN
0003-889X

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We take as our general setting decision problems regarding certain combinatorial properties of THUE systems and algebraic properties of the semi-groups they present. Let the class of all THUE systems be divided up as follows: V o = {all THUE systems with unsolvable word problem}, Wl = {all THUE sys

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We prove that the word problem in the mapping class group of the once-punctured surface of genus g has complexity O(|w| 2 g) for |w| log(g) where |w| is the length of the word in a (standard) set of generators. The corresponding bound in the case of the closed surface is O(|w| 2 g 2 ). We also carry