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Kronecker classes of field extensions of small degree
Published online by Cambridge University Press: 09 April 2009
Abstract
The structure of Kronecker class of an extension K: k of algebraic number fields of degree |K: k| ≤ 8 is investigated. For such classes it is shown that the width and socle number are equal and are at most 2, and for those of width 2 the Galois group is given. Further, if |K: k | is 3 or 4, or if 5 ≤ |K: k| ≤ 8 and K: k is Galois, then the groups corresponding to all “second minimal” fields in K are determined.
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- Copyright © Australian Mathematical Society 1991
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