Geodesic
A Mapping Problem and Jp -Index. I
Canadian journal of mathematics, Tome 22 (1970) no. 4, pp. 705-712

Voir la notice de l'article provenant de la source Cambridge University Press

Indices of normal spaces with countable basis for equivariant mappings have been investigated by Bourgin [4; 6] and by Wu [11; 12] in the case where the transformation groups are of prime order p. One of us has extended the concept to the case where the transformation group is a cyclic group of order pt and discussed its applications to the Kakutani Theorem (see [10]). In this paper we will define the Jp -index of a normal space with countable basis in the case where the transformation group is a cyclic group of order n, where n is divisible by p. We will decide, by means of the spectral sequence technique of Borel [1; 2], the Jp -index of SO(n) where n is an odd integer divisible by p. The method used in this paper can be applied to find the Jp -index of a classical group G whose cohomology ring over Jp has a system of universally transgressive generators of odd degrees. 
Wakae, Masami; Hamara, Oma. A Mapping Problem and Jp -Index. I. Canadian journal of mathematics, Tome 22 (1970) no. 4, pp. 705-712. doi: 10.4153/CJM-1970-080-0
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