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Solvgroups are not almost convex

โœ Scribed by J. W. Cannon; W. J. Floyd; M. A. Grayson; W. P. Thurston

Publisher
Springer
Year
1989
Tongue
English
Weight
399 KB
Volume
31
Category
Article
ISSN
0046-5755

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๐Ÿ“œ SIMILAR VOLUMES

Coxeter groups are almost convex
Coxeter groups are almost convex
โœ Michael W. Davis; Michael Shapiro ๐Ÿ“‚ Article ๐Ÿ“… 1991 ๐Ÿ› Springer ๐ŸŒ English โš– 140 KB
Thompson's group F is not almost convex
Thompson's group F is not almost convex
โœ Sean Cleary; Jennifer Taback ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 293 KB

We show that Thompson's group F does not satisfy Cannon's almost convexity condition AC(n) for any positive integer n with respect to the standard generating set with two elements. To accomplish this, we construct a family of pairs of elements at distance n from the identity and distance 2 from each