Some remarks on the Euler ring U(G)

Abstract.

Let G be a compact Lie group and let U(G) denote the Euler ring of G constructed by tom Dieck [5, 6]. The main result of the paper (Theorem 4.1) describes the homomorphism $\varphi ^{*}: U(SO(3)) \rightarrow U(SO(2))$ induced by the inclusion ${\varphi}: SO(2) \rightarrow SO(3)$.