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On finite permutation groups in which involutions fix at most 15 points

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References

  1. H. Bender, Endliche zweifach transitive Permutationsgruppen, deren Involutionen keine Fixpunkte haben. Math. Z.104, 175–204 (1968).

    Google Scholar 

  2. H. Bender, Transitive Gruppen gerader Ordnung, in denen jede Involution genau einen Punkt festläßt. J. Algebra17, 527–554 (1971).

    Google Scholar 

  3. F. Buekenhout, Transitive groups in which involutions fix one or three points. J. Algebra23, 438–451 (1972).

    Google Scholar 

  4. F. Buekenhout andP. Rowlinson, On (1,4)-groups, II. J. London Math. Soc.8, 507–513 (1974).

    Google Scholar 

  5. F. Buekenhout andP. Rowlinson, On (1,4)-groups, III. J. London Math. Soc.14, 487 to 495 (1976).

    Google Scholar 

  6. A. N. Fomin, Finite 2-groups in which the centralizer of a certain involution is of order 8. Ural. Goz. Univ. Mat. Zap.8, n∘ 3, 122–132 (1972), 143 (1973).

    Google Scholar 

  7. D.Gorenstein, Finite groups. New York 1968.

  8. K. Harada, On finite groups having self-centralizing 2-subgroups of small order. J. Algebra33, 144–160 (1975).

    Google Scholar 

  9. C. Hering, Zweifach transitive Permutationsgruppen, in denen 2 die maximale Anzahl von Fixpunkten von Involutionen ist. Math. Z.104, 150–174 (1968).

    Google Scholar 

  10. Y. Hiramine, On transitive groups in which the maximal number of fixed points of involutions is five. J. Math. Soc. Japan30, n∘ 2, 215–235 (1978).

    Google Scholar 

  11. B.Huppert, Endliche Gruppen I. Berlin 1967.

  12. T. J. Laffey, A lemma on finitep-groups and some consequences. Proc. Cambridge Phil. Soc.75, 133–137 (1974).

    Google Scholar 

  13. A. Mann, Generators of 2-groups. Israel J. Math.10, 158–159 (1971).

    Google Scholar 

  14. C. Ronse, On centralizers of involutions in 2-groups. Math. Pfoc. Camb. Phil. Soc.86, 199–204 (1979).

    Google Scholar 

  15. C.Ronse, Finite Permutation Groups. D. Phil. Thesis, Oxford University 1979.

  16. C. Ronse, On Permutation Groups of Prime Power Order. Math. Z.173, 211–215 (1980).

    Google Scholar 

  17. P. Rowlinson, Simple permutation groups in which an involution fixes a small number of points. J. London Math. Soc.4, 655–661 (1972).

    Google Scholar 

  18. P. Rowlinson, Simple permutation groups in which an involution fixes a small number of points, II. Proc. London Math. Soc.26, 463–481 (1973).

    Google Scholar 

  19. P. Rowlinson, On (1,4)-groups, I. J. London Math. Soc.8, 493–498 (1974).

    Google Scholar 

  20. P. Rowlinson, On (1,6)-groups. J. London Math. Soc.14, 481–486 (1976).

    Google Scholar 

  21. R.Shepherd and E.Shult, Corollaries of strongly embedded type from a theorem of Aschbacher. In: Finite Groups '72, 126–130, ed. T. Gagen, M. P. Hale and E. Shult Amsterdam 1973.

  22. H.Wielandt, Finite Permutation Groups. New York 1964.

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Ronse, C. On finite permutation groups in which involutions fix at most 15 points. Arch. Math 39, 109–112 (1982). https://doi.org/10.1007/BF01899189

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