On groups of hyperbolic length
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Upper and lower bounds are established for the maximum length of a chain of subgroups in a finite classical linear group. Also, it is proved that, for each primep, all but finitely many finite Lie type groups in characteristicp have a longest chain which passes through a maximal parabolic.
KeywordsMaximal Subgroup Maximal Torus Maximal Rank Cartan Subgroup Isotropic Subspace
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- D. Brozovic,Subgroup chains in finite groups inGroup Theory: Proceedings of the Biennial Ohio State-Denison Conference (S. Sehgal and R. Solomon, eds.), World Scientific, Singapore, 1993, pp. 70–81.Google Scholar
- P. B. Kleidman,The maximal subgroups of the low-dimensional, linear groups, Ph.D. Thesis, University of Cambridge, 1987.Google Scholar
- M. Liebeck and G. M. Seitz,Finite subgroups of exceptional algebraic groups, preprint.Google Scholar