arXiv Analytics

Sign in

arXiv:math/9601202 [math.GR]AbstractReferencesReviewsResources

Subgroups of SO(3) Associated with Tilings

Charles Radin, Lorenzo Sadun

Published 1996-01-12Version 1

We give a thorough analysis of those subgroups of SO(3) generated by rotations about perpendicular axes by 2\pi/p and 2\pi/q. A corollary is that such a group is the free product of the cyclic groups of rotations about the separate axes if and only if p,q\ge 3 and are both odd. These groups are naturally associated with a family of hierarchical tilings of Euclidean 3-space.

Comments: Plain TeX; 20 pages of text plus 4 postscript figures
Categories: math.GR, math.MG
Subjects: 51F25, 52C22
Related articles: Most relevant | Search more
arXiv:2401.06886 [math.GR] (Published 2024-01-12)
On the growth of actions of free products
arXiv:2110.09289 [math.GR] (Published 2021-10-14, updated 2022-07-06)
Weak amenability of free products of hyperbolic and amenable groups
arXiv:math/0702363 [math.GR] (Published 2007-02-13)
On the intersection of free subgroups in free products of groups

Links

Toolbox