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Folding actions

Folding actions In this paper we begin by examining the action of E6(q) on the cosets of the subgroup F4(q): we give the rank and subdegrees, and show that it is multiplicity‐free, that is, the constituents of the permutation character are all distinct. It is found that the suborbits correspond to conjugacy classes of A2(q); we seek to explain this using the concept of ‘folding actions’. This enables the related action of 2E6(q2 on F4(q) to be treated with little extra effort. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Bulletin of the London Mathematical Society Wiley

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Publisher
Wiley
Copyright
© London Mathematical Society
ISSN
0024-6093
eISSN
1469-2120
DOI
10.1112/blms/25.2.132
Publisher site
See Article on Publisher Site

Abstract

In this paper we begin by examining the action of E6(q) on the cosets of the subgroup F4(q): we give the rank and subdegrees, and show that it is multiplicity‐free, that is, the constituents of the permutation character are all distinct. It is found that the suborbits correspond to conjugacy classes of A2(q); we seek to explain this using the concept of ‘folding actions’. This enables the related action of 2E6(q2 on F4(q) to be treated with little extra effort.

Journal

Bulletin of the London Mathematical SocietyWiley

Published: Mar 1, 1993

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