Geodesic
Elements of finite order in free product sixth-groups
Glasgow mathematical journal, Tome 9 (1968) no. 2, pp. 128-145

Voir la notice de l'article provenant de la source Cambridge University Press

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. 
McCool, James. Elements of finite order in free product sixth-groups. Glasgow mathematical journal, Tome 9 (1968) no. 2, pp. 128-145. doi: 10.1017/S0017089500000410
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[1] 1.Britton, J. L., Solution of the word problem for certain types of groups I, Proc. Glasgow Math. Assoc. 3 (1956), 45–54. Google Scholar | DOI

[2] 2.Britton, J. L., Solution of the word problem for certain types of groups II, Proc. Glasgow Math. Assoc. 3 (1956), 68–90. Google Scholar | DOI

[3] 3.Greendlinger, M., On Dehn's algorithms for the conjugacy and word problems, with applications, Comm. Pure Appl. Math. 13 (1960), 641–677. Google Scholar | DOI

[4] 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. Google Scholar | DOI

[5] 5.Lipschutz, S., An extension of Greendlinger's results on the word problem, Proc. Amer. Math. Soc. 15 (1964), 37–43. Google Scholar

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