|
|
|
|
|
Linearization ConjectureThe linearization conjecture states that a finite group action on the 3-sphere is conjugate to a group of isometries of the 3-sphere acting by left translation. Currently the linearization conjecture is known for groups whose actions have fixed points (due to Thurston), and it is also known for various groups acting without fixed points such as cyclic groups whose orders are a power of two (Livesay, Myers) and cyclic groups of order 3 (Rubinstein). Provided the Thurston elliptization conjecture is true, the linearization conjecture would be true.
|
 |
|
| Copyright 2005-2009 OnPedia.com. All Rights Reserved |
|
|