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The geometry of root subgroups in exceptional groups, II

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References

  1. Carter, Roger W., Simple Groups of Lie Type, John Wiley & Sons, 1972.

  2. Cooperstein, B., ‘The Geometry of Root Subgroups in Exceptional Groups, I’, Geom. Dedicata 8 (1979), 317–381.

    Google Scholar 

  3. Cooperstein, B. and Mason, G., ‘Some Questions Concerning the Representations of Chevalley Groups of Characteristic Two’ (unpublished).

  4. Cooperstein, B., ‘Minimal Degree for a Permutation Representation of a Classical Group’, Israel J. Math. 30 (1978).

  5. Dickson, L. E. ‘Determination of All Subgroups of the Known Simple Group of Order 25, 920’, Trans. Amer. Math. Soc. 5 (1904), 126–166.

    Google Scholar 

  6. Enright, G. M., ‘Subgroups Generated by Transpositions in F 22 and F 23’, Communications in Algebra 6(8) (1978), 813–837.

    Google Scholar 

  7. Fischer, B., ‘Finite Groups Generated by 3-Transpositions. I’, Invent. Math. 13 (1971), 232–246 (U. of Warwick preprint).

    Google Scholar 

  8. Fishcher, B., ‘Subgroups of 2 E 6(2) Isomorphic to M(22)’ (unpublished).

  9. Kantor, W., ‘Subgroups of a Classical Group Generated by Long Root Elements’ (unpublished).

  10. McLaughlin, J. E., ‘Some Groups Generated by Transvections’, Arch. Math. XVIII (1967), 364–368.

    Google Scholar 

  11. Shult, E. E., ‘Groups, Polar Spaces and Related Structures’ in Combinatorics (ed. by M. Hall, Jr and J. H. Van Luit), D. Reidel Publishing Company, 1975.

  12. Timmesfeld, F. G. ‘A Characterization of the Chevalley and Steinberg Groups over 45–1’, Geom. Dedicata 1 (1973), 269–321.

    Google Scholar 

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Supported in part by NSF MSC 76-07035.

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Cooperstein, B.N. The geometry of root subgroups in exceptional groups, II. Geom Dedicata 15, 1–45 (1983). https://doi.org/10.1007/BF00146964

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