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References
Bender, H.: Endliche zweifach transitive Permutationsgruppen, deren Involutionen keine Fixpunkte haben. Math. Z.104, 175–204 (1968).
Brauer, R., and M. Suzuki: On finite groups of even order whose 2-Sylow subgroups are quaternion. Proc. Nat. Acad. Sci. USA.45, 1757–9 (1959).
Cole, F. N.: List of transitive substitution groups of 10 and 11 letters. Quart. J. Math.27, 39–50 (1894–95).
Dickson, L. E.: Linear groups. New York: Dover 1958.
Feit, W., and J. Thompson: Solvability of groups of odd order. Pacific J. Math.13, 775–1029 (1963).
Gorenstein, D.: Finite groups in which Sylow 2-subgroups are abelian and centralizers of involutions are soluble. Canadian J. Math.17, 860–906 (1965).
—, and J. H. Walter: The characterization of finite groups with dihedral Sylow 2-subgroups I., J. Algebra2, 85–151 (1965).
Hall, M.: The theory of groups. New York: Macmillan 1959.
Hering, C.: Zweifach transitive Permutationsgruppen, in denen 2 die maximale Anzahl von Fixpunkten von Involutionen ist. Math. Z.104, 150–174 (1968).
Hughes, D. R.: Extensions of designs and groups: projective, symplectic and certain affine groups. Math. Z.89, 199–205 (1965).
Huppert, B.: Primitive, auflösbare Permutationsgruppen. Arch. der Math.6, 303–310 (1955).
—: Zweifach transitive, auflösbare Permutationsgruppen. Math. Z.68, 126–150 (1957).
King, J. D.: A characterization of some doubly transitive groups. Math. Z.107, 43–48 (1968).
Lüneburg, H.: Charakterisierungen der endlichen desarguesschen projektiven Ebenen. Math. Z.85, 419–450 (1964).
Miller, G. A.: List of transitive substitution groups of degree 12. Quart. J. Math.28, 193–231 (1896).
—: On the primitive substitution groups of degree 16. Amer. J. Math.20, 229–241 (1898).
—: Memoir on substitution groups whose degree does not exceed 8. Amer. J. Math.21, 287–337 (1899).
Nagao, H.: On multiply transitive groups V. J. Algebra9, 240–248 (1968).
Suzuki, M.: A characterization of simple groupsLF(2, p). J. Fac. Sci. Univ. Tokyo, Sect. I6, 259–293 (1951).
—: On a class of doubly transitive groups II. Ann. of Math.79, 514–589 (1964).
—: Transitive extensions of a class of doubly transitive groups. Nagoya Math. J.27, 159–169 (1966).
Wagner, A.: Normal subgroups of triply transitive permutation groups of odd degree. Math. Z.94, 219–222 (1966).
Zassenhaus, H.: The theory of groups. (2nd edition.) Chelsea 1958.
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King, J.D. Doubly transitive groups in which involutions fix one or three points. Math Z 111, 311–321 (1969). https://doi.org/10.1007/BF01110240
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DOI: https://doi.org/10.1007/BF01110240