Nilpotent maximal subgroup abelianity theorem for subnormal skew linear groups

Let DD be an infinite division ring, let nn be a natural number, let NN be a subnormal subgroup of GLn(D)\mathrm{GL}_n(D), and let MM be a nilpotent maximal subgroup of NN. Nilpotent maximal subgroup abelianity theorem. If n=1n=1 or the center of DD contains at least five elements, then MM is abelian. This result generalizes earlier work showing abelianity under additional hypotheses and metabelianity without a dimension condition; the source presents it as one of the paper's main results.

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Primary source

M. Ramezan-Nassab and D. Kiani, “Nilpotent and polycyclic-by-finite maximal subgroups of skew linear groups”, arXiv:1307.5498 (2013).

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