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Odd automorphisms of Sylow 2-subgroups of sporadic simple groups

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Abstract

The automorphisms of a Sylow 2-subgroup of a sporadic simple group or its automorphism group which have odd order are determined. The description of these odd automorphisms is used by the authors in [11] and [12].

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References

  1. M. Aschbacher, Finite Group Theory, CUP, 1986

  2. D. Benson, The Loewy Structure of the Projective Indecomposable Modules forA 9 in characteristic two, Comm. in Alg., 11 (13), 1433–1453 (1983)

    MATH  MathSciNet  Google Scholar 

  3. A. Chermak, On certain groups with parabolic-type subgroups over ℤ2, J. London Math. Soc. (2),23, 265–279 (1981)

    MATH  MathSciNet  Google Scholar 

  4. J. Conway, R. Curtis, S. Norton, R. Parker and R. Wilson, Atlas of Finite Groups, Clarendon Press, Oxford, 1985

    MATH  Google Scholar 

  5. D. Goldschmidt, Automorphisms of Trivalent Graphs, Ann. of Math.,111, 377–406 (1980),

    Article  MathSciNet  Google Scholar 

  6. D. Gorenstein, Finite Groups, Harper and Row, 1968

  7. Huang Jianhua, B. Stellmacher and G. Stroth, Some parabolic systems of rank 2 related to sporadic groups, J. of Algebra,102, 78–118 (1986)

    Article  MATH  Google Scholar 

  8. W. Lempken, C. Parker and P. Rowley, (S 3,S 6)-amalgams I, Nova Journal of Algebra and Geometry,3, 209–269 (1995)

    MATH  MathSciNet  Google Scholar 

  9. U. Meierfrankenfeld and G. Stroth, QuadraticGF (2)-modules for Sporadic Simple Groups and Alternating Groups, Comm. Alg.,18(7) 2099–2139 (1990)

    MATH  MathSciNet  Google Scholar 

  10. C. Parker, Groups containing a subdiagram, Proc. London Math. Soc. (3)65, 85–120 (1992)

    MATH  MathSciNet  Google Scholar 

  11. C. Parker and P. Rowley, Amalgams which involve sporadic simple groups I, Universität Bielefeld preprint 94-073

  12. C. Parker and P. Rowley, Amalgams which involve sporadic simple groups II, Universität Bielefeld preprint 94-074

  13. P. Rowley,S 3-complexes and the alternating group of degree 7, J. London Math. Soc.30, 40–57 (1984)

    MathSciNet  Google Scholar 

  14. P. Rowley, Minimal parabolic systems with diagram, J. of Algebra,141, 204–251 (1991)

    Article  MATH  MathSciNet  Google Scholar 

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Authors and Affiliations

  1. School of Mathematics and Statistics, University of Birmingham, Edgbaston, B15 2TT, Birmingham, UK

    Christopher Parker

  2. Department of Mathematics, UMIST, PO Box 88, M60 1QD, Manchester, UK

    Peter Rowley

Authors
  1. Christopher Parker
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  2. Peter Rowley
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Partially supported by an LMS grant

This article was processed by the author using theLatex style filecljour1 from Springer-Verlag.

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Parker, C., Rowley, P. Odd automorphisms of Sylow 2-subgroups of sporadic simple groups. Manuscripta Math 89, 49–60 (1996). https://doi.org/10.1007/BF02567504

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  • DOI: https://doi.org/10.1007/BF02567504

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