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Elements of finite order in free product sixth-groups

Published online by Cambridge University Press:  18 May 2009

James McCool
James McCool
Affiliation:
University of TorontoToronto, Canada
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A free product sixth-group (FPS-group) is, roughly speaking, a free product of groups with a number of additional defining relators, where, if two of these relators have a subword in common, then the length of this subword is less than one sixth of the lengths of either of the two relators.

Britton [1,2] has proved a general algebraic result for FPS-groups and has used this result in a discussion of the word problem for such groups.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 9 , Issue 2 , July 1968 , pp. 128 - 145
Copyright
Copyright © Glasgow Mathematical Journal Trust 1968

References

REFERENCES

1.Britton, J. L., Solution of the word problem for certain types of groups I, Proc. Glasgow Math. Assoc. 3 (1956), 45–54.CrossRefGoogle Scholar
2.Britton, J. L., Solution of the word problem for certain types of groups II, Proc. Glasgow Math. Assoc. 3 (1956), 68–90.CrossRefGoogle Scholar
3.Greendlinger, M., On Dehn's algorithms for the conjugacy and word problems, with applications, Comm. Pure Appl. Math. 13 (1960), 641–677.CrossRefGoogle Scholar
4.Karass, A., Magnus, W. and Solitar, D., Elements of finite order in groups with a single defining relation, Comm. Pure Appl. Math. 13 (1960), 57–66.CrossRefGoogle Scholar
5.Lipschutz, S., An extension of Greendlinger's results on the word problem, Proc. Amer. Math. Soc. 15 (1964), 37–43.Google Scholar