Abelian extension

(redirected from Cyclotomic extension)

Abelian extension

[ə′bēl·yən ik′sten·chən]
(mathematics)
A Galois extension whose Galois group is Abelian.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
References in periodicals archive ?
Further, for any prime number v' [not equal to] l, the order of v' modulo [l.sup.2] is equal to the order of the decomposition group of v with respect to the cyclotomic extension [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII].
Let kcyc be the maximal cyclotomic extension of k in an algebraic closure.
Topics in applications include solvability by radicals, cyclotomic extensions, geometric constructions and finite fields.