Transitive permutation groups of degree $p=2q+1$, $p$ and $q$ being prime numbers. II
HTML articles powered by AMS MathViewer
- by Noboru IΕ£o
- Trans. Amer. Math. Soc. 113 (1964), 454-487
- DOI: https://doi.org/10.1090/S0002-9947-1964-0172913-2
- PDF | Request permission
References
- R. Brauer and C. Nesbitt, On the modular characters of groups, Ann. of Math. (2) 42 (1941), 556β590. MR 4042, DOI 10.2307/1968918
- Richard Brauer, On groups whose order contains a prime number to the first power. I, Amer. J. Math. 64 (1942), 401β420. MR 6537, DOI 10.2307/2371693
- Richard Brauer, On groups whose order contains a prime number to the first power. II, Amer. J. Math. 64 (1942), 421β440. MR 6538, DOI 10.2307/2371694
- Richard Brauer, On permutation groups of prime degree and related classes of groups, Ann. of Math. (2) 44 (1943), 57β79. MR 8237, DOI 10.2307/1969065 W. Burnside, Theory of groups of finite order, Cambridge Univ. Press, Cambridge, 1911. L. E. Dickson, Linear groups with an exposition of the Galois field theory, Teubner, Leipzig, 1901.
- J. S. Frame, The double cosets of a finite group, Bull. Amer. Math. Soc. 47 (1941), 458β467. MR 4027, DOI 10.1090/S0002-9904-1941-07479-3 G. Frobenius, Γber die Charaktere der symmetrischen Gruppe, S.-B. Preuss. Akad. Wiss. Berlin (1900), 516-534. β, Γber die Charaktere der mehrfach transitiven Gruppen, S.-B. Preuss. Akad. Wiss. Berlin (1904), 528-571.
- Noboru Ito, A note on transitive permutation groups of degree $p$, Osaka Math. J. 14 (1962), 213β218. MR 142616
- Noboru ItΓ΄, Transitive permutation groups of degree $p=2q+1,\,p$ and $q$ being prime numbers, Bull. Amer. Math. Soc. 69 (1963), 165β192. MR 147535, DOI 10.1090/S0002-9904-1963-10904-0
- W. A. Manning, A theorem concerning simply transitive primitive groups, Bull. Amer. Math. Soc. 35 (1929), no.Β 3, 330β332. MR 1561738, DOI 10.1090/S0002-9904-1929-04741-4
- Michio Suzuki, On finite groups with cyclic Sylow subgroups for all odd primes, Amer. J. Math. 77 (1955), 657β691. MR 74411, DOI 10.2307/2372591
- Tosiro Tsuzuku, On multiple transitivity of permutation groups, Nagoya Math. J. 18 (1961), 93β109. MR 124420, DOI 10.1017/S0027763000002269
- Hsio-Fu Tuan, On groups whose orders contain a prime number to the first power, Ann. of Math. (2) 45 (1944), 110β140. MR 9397, DOI 10.2307/1969079
- Helmut Wielandt, Primitive Permutationsgruppen vom Grad $2p$, Math. Z. 63 (1956), 478β485 (German). MR 75200, DOI 10.1007/BF01187953 β, Permutationsgruppen, Vorlesungsausarbeitungen von J. AndrΓ©, TΓΌbingen, 1955.
Bibliographic Information
- © Copyright 1964 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 113 (1964), 454-487
- MSC: Primary 20.20
- DOI: https://doi.org/10.1090/S0002-9947-1964-0172913-2
- MathSciNet review: 0172913