FINITE AXIOMATIZATION OF FINITE SOLUBLE GROUPS

JOHN S. WILSON

doi:10.1112/S0024610706023106

Abstract

It is proved that the finite soluble groups can be characterized among finite groups by a first-order sentence, namely, the sentence that asserts that no non-trivial element $g$ is a product of 56 commutators $[x,y]$ with entries $x$, $y$ conjugate to $g$.

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FINITE AXIOMATIZATION OF FINITE SOLUBLE GROUPS

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This article has been cited by the following publications. This list is generated based on data provided by Crossref.

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FINITE AXIOMATIZATION OF FINITE SOLUBLE GROUPS

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