Nilpotent maximal subgroup abelianity theorem for subnormal skew linear groups
Nilpotent maximal subgroup abelianity theorem for subnormal skew linear groups
Let be an infinite division ring, let be a natural number, let be a subnormal subgroup of , and let be a nilpotent maximal subgroup of . Nilpotent maximal subgroup abelianity theorem. If or the center of contains at least five elements, then 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.
Sources & referencesView supporting material
Primary source
M. Ramezan-Nassab and D. Kiani, “Nilpotent and polycyclic-by-finite maximal subgroups of skew linear groups”, arXiv:1307.5498 (2013).
Progress summary
Nothing recorded yet. Refresh searches the literature and the public web for attempts on this problem, and writes the first summary here.
Solutions 0
Sign in to submit a solution.
No solutions have been posted yet.