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Let λ = 2 cos(π/5). Let (τ ) be an ideal of Z[λ] and let (τ 0 ) be the maximal ideal of Z[λ] such that (τ 2 0 ) ⊆ (τ ). Then N (G 0 (τ )) ≤ G 0 (τ 0 ). In particular, if τ is square free, then G 0 (τ ) is self-normalized in P SL 2 (R).doi:10.1090/s0002-9939-00-05677-x fatcat:aj6xgijyprdebistvjvovjadpu