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Orbit method for p-Sylow subgroups of finite classical groups.
- Source :
-
Journal of Pure & Applied Algebra . Nov2019, Vol. 223 Issue 11, p4801-4826. 26p. - Publication Year :
- 2019
-
Abstract
- For the p -Sylow subgroups U of the finite classical groups of untwisted Lie type, p an odd prime, we construct a monomial C U -module M which is isomorphic to the regular representation of C U by a modification of Kirillov's orbit method called monomial linearisation. We classify a certain subclass of orbits of the U -action on the monomial basis of M consisting of so called staircase orbits and show, that every orbit module in M is isomorphic to a staircase one. Finally we decompose the André-Neto supercharacters of U into a sum of U -characters afforded by staircase orbit modules contained in M. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00224049
- Volume :
- 223
- Issue :
- 11
- Database :
- Academic Search Index
- Journal :
- Journal of Pure & Applied Algebra
- Publication Type :
- Academic Journal
- Accession number :
- 136677839
- Full Text :
- https://doi.org/10.1016/j.jpaa.2019.02.016