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FINITE AXIOMATIZATION OF FINITE SOLUBLE GROUPS

Published online by Cambridge University Press:  04 January 2007

JOHN S. WILSON
Affiliation:
University College, Oxford OX1 4BH, United Kingdomwilsonjs@maths.ox.ac.uk
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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 $g$.

Keywords

Type
Notes and Papers
Copyright
The London Mathematical Society 2006

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