Equivariant vector fields on three dimensional representation spheres

Gürağaç, Hami Sercan
Let G be a finite group and V be an orthogonal four-dimensional real representation space of G where the action of G is non-free. We give necessary and sufficient conditions for the existence of a G-equivariant vector field on the representation sphere of V in the cases G is the dihedral group, the generalized quaternion group and the semidihedral group in terms of decomposition of V into irreducible representations. In the case G is abelian, where the solution is already known, we give a more elementary solution.


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Citation Formats
H. S. Gürağaç, “Equivariant vector fields on three dimensional representation spheres,” Ph.D. - Doctoral Program, Middle East Technical University, 2011.