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Group-theoretic characterization of transvections using CDC

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References

  1. Borel, A.: On the automorphisms of certain subgroups of semisimple Lie groups. Preprint (1968).

  2. Cohn, P.M.: On the structure of theGL 2 of a ring. Inst. Hautes Études Sci. Publ. Math.30, 5–53 (1966).

    Google Scholar 

  3. Dieudonné, J.: La géometrie des groupes classiques. Second Edition. Berlin-Göttingen-Heidelberg: Springer 1963.

    Google Scholar 

  4. O'Meara, O. T.: The automorphisms of the linear groups over any integral domain. J. reine angew. Math.223, 56–100 (1966).

    Google Scholar 

  5. —: The automorphisms of the orthogonal groupsΩ n (V) over fields. Amer. J. Math.90, 1260–1306 (1968).

    Google Scholar 

  6. O'Meara, O. T.: The automorphisms of the orthogonal groups and their congruence subgroups over arithmetic domains. J. reine angew. Math., in press (1969/70).

  7. —, and H. Zassenhaus: The automorphisms of the linear congruence groups over Dedekind domains. J. Number Theory1, 211–221 (1969).

    Google Scholar 

  8. Zassenhaus, H.: Characterization of unipotent matrices. J. Number Theory1, 222–230 (1969).

    Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics, University of Notre Dame, Post Office Box 398, 46556, Notre Dame, Indiana, USA

    O. T. O'Meara

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  1. O. T. O'Meara
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Research supported in part by the National Science Foundation under grant GP-8366.

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O'Meara, O.T. Group-theoretic characterization of transvections using CDC. Math Z 110, 385–394 (1969). https://doi.org/10.1007/BF01110686

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