Journal of the Australian Mathematical Society - Series A
Vol. 65 Part 1 (1998)

# Regular cyclic actions on complex projective space with codimension-two fixed points

Robert D. Little
Department of Mathematics
University of Hawaii at Manoa
Honolulu HI 96822
USA

### Abstract:

If M2n is a cohomology and p is an odd prime, let Gp be the cyclic group of order p. A Gp action on M2n is an action with fixed point set a codimension-2 submanifold and an isolated point. A Gp action is standard if it is regular and the degree of the fixed codimension-2 submanifold is one. If n is odd and M2n admits a standard Gp action of , then every Gp action on M2n is standard and so, if n is odd, admits a Gp action of if and only if the action is standard.

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