Abstract
Finite simple groups of order divisible by three primes only and the odd Sylow subgroups of which are cyclic are clssified.
Similar content being viewed by others
References
R. Brauer,Investigations on group characters, Ann. of Math.42 (1941), 936–958.
R. Brauer, and H. F. Tuan,On simple groups of finite order, I, Bull. Amer. Math. Soc.51 (1945), 756–766.
E. C. Dade,Blocks with cyclic defect groups, Ann. of Math.84 (1966), 20–48.
W. Feit,Groups which have a faithful representation of degree less than p − 1, Trans. Amer. Math. Soc.112 (1964), 287–303.
T. M. Gagen,On groups with abelian Sylow 2-groups, Math. Z.90 (1965), 268–272.
D. Gorenstein,Finite Groups, Harper and Row, 1968.
M. Suzuki,On finite groups with cyclic Sylow subgroups for all odd primes, Amer. J. Math.77 (1955), 657–691.
J. G. Thompson,Vertices and sources, J. of Algebra6 (1967), 1–6.
H. Zassenhaus,Lehrbuch der Gruppentheorie, VolumeI, 1937.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Herzog, M. On finite groups with cyclic sylow subgroups for all odd primes. Israel J. Math. 6, 206–216 (1968). https://doi.org/10.1007/BF02760253
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02760253