## Point stabilisers for the enhanced and exotic nilpotent cones

##### Authors
Sun, Michael Yuan
##### Description
We give a semi-direct product decomposition of the point stabilisers for the enhanced and exotic nilpotent cones. In particular, we arrive at formulas for the number of points in each orbit over a finite field. This is in accordance with a recent conjecture of Achar and Henderson.
Comment: 25 pages->13 pages, presentation simplified. Title altered. To appear in Journal of Group Theory
##### Keywords
Mathematics - Group Theory, Mathematics - Representation Theory