solvable extension
solvable extension
[′säl·və·bəl ik′sten·chən] (mathematics)
A finite extension E of a field F such that the Galois group of the smallest Galois extension of F containing E is a solvable group.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
References in periodicals archive
In [6], Kahrobaei proved the generalized free product of two finitely generated solvable groups amalgamated by central subgroups is a solvable extension of a residually solvable group and, hence, is residually solvable.
Therefore, G is a solvable extension of a free group and is, thus, residually solvable.
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