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A fixed-point formula for the classical groups over a finite field

1965
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Transactions of the American Mathematical Society
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and let gp(9, wAere the forms d>? are, for varying q, of some fixed type. Let Giq) =Oin,q,q) be the orthogonal group and let griq) be the number of elements of Giq) with an in -r)-dimensional fixed-point set. There is a formula (1.2), for each"odd prime power q, if and only if the index of E is 0 or 1.

doi:10.1090/s0002-9947-1965-0172935-2
fatcat:ucpbdp6qhveopanatwmfgsoit4