References
H. Bender, Endliche zweifach transitive Permutationsgruppen, deren Involutionen keine Fixpunkte haben. Math. Z.104, 175–204 (1968).
H. Bender, Transitive Gruppen gerader Ordnung, in denen jede Involution genau einen Punkt festläßt. J. Algebra17, 527–554 (1971).
F. Buekenhout, Transitive groups in which involutions fix one or three points. J. Algebra23, 438–451 (1972).
F. Buekenhout andP. Rowlinson, On (1,4)-groups, II. J. London Math. Soc.8, 507–513 (1974).
F. Buekenhout andP. Rowlinson, On (1,4)-groups, III. J. London Math. Soc.14, 487 to 495 (1976).
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).
D.Gorenstein, Finite groups. New York 1968.
K. Harada, On finite groups having self-centralizing 2-subgroups of small order. J. Algebra33, 144–160 (1975).
C. Hering, Zweifach transitive Permutationsgruppen, in denen 2 die maximale Anzahl von Fixpunkten von Involutionen ist. Math. Z.104, 150–174 (1968).
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).
B.Huppert, Endliche Gruppen I. Berlin 1967.
T. J. Laffey, A lemma on finitep-groups and some consequences. Proc. Cambridge Phil. Soc.75, 133–137 (1974).
A. Mann, Generators of 2-groups. Israel J. Math.10, 158–159 (1971).
C. Ronse, On centralizers of involutions in 2-groups. Math. Pfoc. Camb. Phil. Soc.86, 199–204 (1979).
C.Ronse, Finite Permutation Groups. D. Phil. Thesis, Oxford University 1979.
C. Ronse, On Permutation Groups of Prime Power Order. Math. Z.173, 211–215 (1980).
P. Rowlinson, Simple permutation groups in which an involution fixes a small number of points. J. London Math. Soc.4, 655–661 (1972).
P. Rowlinson, Simple permutation groups in which an involution fixes a small number of points, II. Proc. London Math. Soc.26, 463–481 (1973).
P. Rowlinson, On (1,4)-groups, I. J. London Math. Soc.8, 493–498 (1974).
P. Rowlinson, On (1,6)-groups. J. London Math. Soc.14, 481–486 (1976).
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.
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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DOI: https://doi.org/10.1007/BF01899189