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THE DERIVED LENGTH OF A SOLUBLE SUBGROUP OF A FINITE-DIMENSIONAL DIVISION ALGEBRA

Published online by Cambridge University Press:  24 March 2006

B. A. F. WEHRFRITZ
B. A. F. WEHRFRITZ
Affiliation:
School of Mathematical Sciences, Queen Mary, University of London, Mile End Road, London E1 4NS, England e-mail: b.a.f.wehrfritz@qmul.ac.uk
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Abstract

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We determine for all $d$ and $p$ the maximal derived length of a soluble subgroup of the multiplicative group of a division ring of finite degree $d$ and characteristic $p\,\ge\,0$ to within one.

Keywords

20F1616K20
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 48 , Issue 1 , January 2006 , pp. 119 - 124
Copyright
2006 Glasgow Mathematical Journal Trust