Kronecker-Weber plus epsilon
| dc.creator | Anderson, Greg W. | |
| dc.date | 2001-03-15 | |
| dc.date.accessioned | 2026-07-07T04:40:54Z | |
| dc.date.available | 2026-07-07T04:40:54Z | |
| dc.description | We say that a group is {\em almost abelian} if every commutator is central and squares to the identity. Now let $G$ be the Galois group of the algebraic closure of the field $\QQ$ of rational numbers in the field of complex numbers. Let $G^{\ab+ε}$ be the quotient of $G$ universal for homomorphisms to almost abelian profinite groups and let $\QQ^{\ab+ε}/\QQ$ be the corresponding Galois extension. We prove that $\QQ^{\ab+ε}$ is generated by the roots of unity, the fourth roots of the (rational) prime numbers and the square roots of certain sine-monomials. The inspiration for the paper came from recent studies of algebraic $Γ$-monomials by P.~Das and by S.~Seo. This paper has appeared as Duke Math. J. 114 (2002) 439-475. | |
| dc.identifier | https://arxiv.org/abs/math/0103241 | |
| dc.identifier | http://arxiv.org/abs/math/0103241 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/61192 | |
| dc.subject | Number Theory | |
| dc.title | Kronecker-Weber plus epsilon | |
| dc.type | text |