THE DERIVED LENGTH OF A SOLUBLE SUBGROUP OF A FINITE-DIMENSIONAL DIVISION ALGEBRA
Glasgow mathematical journal, Tome 48 (2006) no. 1, pp. 119-124
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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.
WEHRFRITZ, B. A. F. THE DERIVED LENGTH OF A SOLUBLE SUBGROUP OF A FINITE-DIMENSIONAL DIVISION ALGEBRA. Glasgow mathematical journal, Tome 48 (2006) no. 1, pp. 119-124. doi: 10.1017/S0017089505002922
@article{10_1017_S0017089505002922,
author = {WEHRFRITZ, B. A. F.},
title = {THE {DERIVED} {LENGTH} {OF} {A} {SOLUBLE} {SUBGROUP} {OF} {A} {FINITE-DIMENSIONAL} {DIVISION} {ALGEBRA}},
journal = {Glasgow mathematical journal},
pages = {119--124},
year = {2006},
volume = {48},
number = {1},
doi = {10.1017/S0017089505002922},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089505002922/}
}
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