First-order characterization of the radical of a finite group
John S. Wilson
Source: J. Symbolic Logic Volume 74, Issue 4
(2009), 1429-1435.
Abstract
It is shown that there is a formula σ(g) in the first-order language of group theory with the following property: for every finite group G, the largest soluble normal subgroup of G consists precisely of the elements g of G such that σ(g) holds.
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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.jsl/1254748698
Digital Object Identifier: doi:10.2178/jsl/1254748698
Zentralblatt MATH identifier: 05654337
Mathematical Reviews number (MathSciNet): MR2583827
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--------, Characterization of the soluble radical by a sequence of words, Journal of Algebra,(to appear).
