Let G be a finite, freely acting group of homeomorphisms of the odd-dimensional sphere S2n-1. John Oprea has proven that the Gottlieb group of S2n-1/G equals Z(G), the centre of G . The purpose of this short paper is to give a considerably shorter, more geometric proof of Oprea's theorem in the important case where G is a linear group.
The Gottlieb Group of Finite Linear Quotients of Odd-Dimensional SpheresFaculty Publications - Mathematics
External Access URLhttp://www.ams.org/journals/proc/1991-111-04/S0002-9939-1991-1041012-1/S0002-9939-1991-1041012-1.pdf
Citation InformationBroughton, S.A. (1991, April). The Gottlieb group of finite linear quotients of odd-dimensional spheres. In Proceedings of the American Mathematical Society, 111(4), 1195-1197.