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The Action ofF4(q) on Cosets ofB4(q)

✍ Scribed by R Lawther

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
441 KB
Volume
212
Category
Article
ISSN
0021-8693

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✦ Synopsis

In this paper we consider the action of the simple group F q on the cosets of 4 Ž . the maximal subgroup B q . We show that the action is multiplicity-free of rank 4 q q 3; we obtain suborbit representatives and calculate subdegrees, show that all suborbits are self-paired, find that none of the graphs arising from the action is distance-transitive, and give explicitly the decomposition of the permutation character. In addition, we give detailed information on the correspondence between geometric conjugacy classes and semisimple classes which is used in the Deligne᎐Lusztig theory.

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