On Reeβs series of simple groups
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- by Harold N. Ward
- Trans. Amer. Math. Soc. 121 (1966), 62-89
- DOI: https://doi.org/10.1090/S0002-9947-1966-0197587-8
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References
- Richard Brauer, On blocks of characters of groups of finite order. II, Proc. Nat. Acad. Sci. U.S.A. 32 (1946), 215β219. MR 17280, DOI 10.1073/pnas.32.8.215
- Richard Brauer, Zur Darstellungstheorie der Gruppen endlicher Ordnung, Math. Z. 63 (1956), 406β444 (German). MR 75953, DOI 10.1007/BF01187950
- Richard Brauer, Zur Darstellungstheorie der Gruppen endlicher Ordnung. II, Math. Z. 72 (1959/60), 25β46 (German). MR 108542, DOI 10.1007/BF01162934
- Richard Brauer, On blocks of representations of finite groups, Proc. Nat. Acad. Sci. U.S.A. 47 (1961), 1888β1890. MR 133374, DOI 10.1073/pnas.47.12.1888
- Richard Brauer, Investigation on groups of even order. I, Proc. Nat. Acad. Sci. U.S.A. 47 (1961), 1891β1893. MR 133375, DOI 10.1073/pnas.47.12.1891 β, Exceptional characters, Seminar on Finite Groups, Harvard University, Cambridge, Mass., 1960-1961; pp. 41-45.
- Richard Brauer, Some applications of the theory of blocks of characters of finite groups. I, J. Algebra 1 (1964), 152β167. MR 168662, DOI 10.1016/0021-8693(64)90031-6
- Richard Brauer and Walter Feit, On the number of irreducible characters of finite groups in a given block, Proc. Nat. Acad. Sci. U.S.A. 45 (1959), 361β365. MR 106246, DOI 10.1073/pnas.45.3.361 W. Burnside, Theory of groups of finite order, 2nd. ed., Cambridge Univ. Press, New York, 1911.
- Charles W. Curtis and Irving Reiner, Representation theory of finite groups and associative algebras, Pure and Applied Mathematics, Vol. XI, Interscience Publishers (a division of John Wiley & Sons, Inc.), New York-London, 1962. MR 0144979
- Leonard Eugene Dickson, Linear groups: With an exposition of the Galois field theory, Dover Publications, Inc., New York, 1958. With an introduction by W. Magnus. MR 0104735 G. Frobenius and I. Schur, Ueber die Darstellungen der endlichen Gruppen. S.-B. Berlin Math. Ges. (1906), 186-208.
- Marshall Hall Jr., The theory of groups, The Macmillan Company, New York, N.Y., 1959. MR 0103215
- Herbert E. Jordan, Group-Characters of Various Types of Linear Groups, Amer. J. Math. 29 (1907), no.Β 4, 387β405. MR 1506021, DOI 10.2307/2370015 G. W. Mackey, The theory of group representations. Univ. of Chicago, Chicago Ill., (mimeographed notes), 1955.
- Rimhak Ree, A family of simple groups associated with the simple Lie algebra of type $(G_{2})$, Bull. Amer. Math. Soc. 66 (1960), 508β510. MR 125154, DOI 10.1090/S0002-9904-1960-10523-X
- Rimhak Ree, A family of simple groups associated with the simple Lie algebra of type $(G_{2})$, Amer. J. Math. 83 (1961), 432β462. MR 138680, DOI 10.2307/2372888
- Rimhak Ree, Sur une famille de groupes de permutations doublement transitifs, Canadian J. Math. 16 (1964), 797β820 (French). MR 175965, DOI 10.4153/CJM-1964-077-2
- 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
- Michio Suzuki, On a class of doubly transitive groups. II, Ann. of Math. (2) 79 (1964), 514β589. MR 162840, DOI 10.2307/1970408
- Hans J. Zassenhaus, The theory of groups, Chelsea Publishing Co., New York, 1958. 2nd ed. MR 0091275
Bibliographic Information
- © Copyright 1966 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 121 (1966), 62-89
- MSC: Primary 20.80; Secondary 20.29
- DOI: https://doi.org/10.1090/S0002-9947-1966-0197587-8
- MathSciNet review: 0197587