A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2017; you can also visit the original URL.
The file type is
Let R t , R 2 £ 0(ri) 9 the group of orthogonal transformations of R". We say R t and R 2 are topologically (resp. linearly) equivalent if there is a homeomorphism (resp. linear automorphism) ƒ: R n -• R n such that (Of course, linear equivalence of R t with R 2 is the same as equality of the respective sets of complex eigenvalues.) The order of an orthogonal transformation is its order as an element of 0(n). The purpose of this note is to announce and discuss the proof of the following resultdoi:10.1090/s0273-0979-1982-15016-9 fatcat:e5cxvkqbcrgvhlhcjln45xxnya