G_3~n (Q)(n≥3) Is Not a Subgroup of K_2Q
Liu Yu · 2005
Let Φ n(x) be the n-th cyclotomic polynomial.For any field F,let G n(F)= {{x,Φ n(x)} ∈K 2F|x,Φ n(x)∈F *}.In this paper,we prove that if n≥3,then G 3 n (Q) is not a subgroup of K 2(Q),which partly confirms a conjecture proposed by Browkin in some special cases.