#### Vol. 305, No. 2, 2020

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Strongly algebraic realization of dihedral group actions

### Karl Heinz Dovermann

Vol. 305 (2020), No. 2, 563–576
DOI: 10.2140/pjm.2020.305.563
##### Abstract

Let ${D}_{2q}$ be the dihedral group with $2q$ elements and suppose that $q$ is not divisible by $4$. Let $M$ be a closed smooth ${D}_{2q}$-manifold. Then there exists a nonsingular real algebraic ${D}_{2q}$-variety $X$ which is equivariantly diffeomorphic to $M$ and all ${D}_{2q}$-vector bundles over $X$ are strongly algebraic.

##### Keywords
real algebraic models, equivariant bordism
##### Mathematical Subject Classification 2010
Primary: 14P25
Secondary: 57S15, 57S25
##### Milestones
Received: 20 August 2018
Revised: 29 July 2019
Accepted: 30 July 2019
Published: 29 April 2020
##### Authors
 Karl Heinz Dovermann Department of Mathematics University of Hawaii at Manoa Honolulu, HI United States