Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS
   
Mobile Device Pairing
Green Open Access
Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

Efficient computation in groups and simplicial complexes


Author: John C. Stillwell
Journal: Trans. Amer. Math. Soc. 276 (1983), 715-727
MSC: Primary 03D15; Secondary 03D40, 20F10, 57M05
MathSciNet review: 688973
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: Using HNN extensions of the Boone-Britton group, a group $ E$ is obtained which simulates Turing machine computation in linear space and cubic time. Space in $ E$ is measured by the length of words, and time by the number of substitutions of defining relators and conjugations by generators required to convert one word to another. The space bound is used to derive a PSPACE-complete problem for a topological model of computation previously used to characterize NP-completeness and RE-completeness.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC: 03D15, 03D40, 20F10, 57M05

Retrieve articles in all journals with MSC: 03D15, 03D40, 20F10, 57M05


Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9947-1983-0688973-8
PII: S 0002-9947(1983)0688973-8
Keywords: Word problem for groups, Turing machines, two-dimensional complexes, polynomial time computation
Article copyright: © Copyright 1983 American Mathematical Society