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On groups of hyperbolic length

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Abstract

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.

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Authors and Affiliations

  1. Department of Mathematics, The University of North Texas, P.O. Box 5116, 76203, Denton, TX, USA

    Douglas P. Brozovic

  2. Department of Mathematics, The Ohio State University, 43210, Columbus, OH, USA

    Ronald M. Solomon

Authors
  1. Douglas P. Brozovic
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  2. Ronald M. Solomon
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Correspondence to Douglas P. Brozovic.

Additional information

Partially supported by N.S.F. Grant DMS-94-01852.

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Brozovic, D.P., Solomon, R.M. On groups of hyperbolic length. Israel J. Math. 98, 61–99 (1997). https://doi.org/10.1007/BF02937329

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  • DOI: https://doi.org/10.1007/BF02937329

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