Non-polycyclic-by-finite maximal subgroup theorem for skew linear groups
Non-polycyclic-by-finite maximal subgroup theorem for skew linear groups
Let be an infinite division ring, let be a natural number, and let be a maximal subgroup of . Non-polycyclic-by-finite maximal subgroup theorem. If or the center of contains at least five elements, then cannot be polycyclic-by-finite. The source presents this as a main result in its study of polycyclic-by-finite skew linear groups, following the observation that itself cannot be polycyclic-by-finite.
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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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