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Blau, Harvey I.

Under the degree of some finite linear groups. (English) Zbl 0225.20013

Trans. Am. Math. Soc. 155, 95-113 (1971).
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Cited in 12 Documents

MSC:

20D15 Finite nilpotent groups, \(p\)-groups
20D20 Sylow subgroups, Sylow properties, \(\pi\)-groups, \(\pi\)-structure
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References:

[1] H. Blau, On the degree of some finite linear groups, Ph.D. Thesis, Yale University, New Haven, Conn., 1969.
[2] Richard Brauer, Investigations on group characters, Ann. of Math. (2) 42 (1941), 936 – 958. · Zbl 0061.03702 · doi:10.2307/1968775
[3] Richard Brauer, On groups whose order contains a prime number to the first power. II, Amer. J. Math. 64 (1942), 421 – 440. · Zbl 0061.03703 · doi:10.2307/2371694
[4] Richard Brauer, Some results on finite groups whose order contains a prime to the first power, Nagoya Math. J. 27 (1966), 381 – 399. · Zbl 0139.25201
[5] E. C. Dade, Blocks with cyclic defect groups, Ann. of Math. (2) 84 (1966), 20 – 48. · Zbl 0163.27202 · doi:10.2307/1970529
[6] Walter Feit, Groups with a cyclic Sylow subgroup, Nagoya Math. J. 27 (1966), 571 – 584. · Zbl 0146.03704
[7] Walter Feit, On finite linear groups, J. Algebra 5 (1967), 378 – 400. · Zbl 0228.20019 · doi:10.1016/0021-8693(67)90049-X
[8] -, Modular representations of finite groups, Lecture Notes, Yale University, New Haven, Conn., 1969.
[9] J. A. Green, On the indecomposable representations of a finite group, Math. Z. 70 (1958/59), 430 – 445. · Zbl 0086.02403 · doi:10.1007/BF01558601
[10] J. A. Green, Blocks of modular representations, Math. Z. 79 (1962), 100 – 115. · Zbl 0233.20006 · doi:10.1007/BF01193108
[11] J. A. Green, The modular representation algebra of a finite group, Illinois J. Math. 6 (1962), 607 – 619. · Zbl 0131.26401
[12] Zvonimir Janko, A new finite simple group with abelian Sylow 2-subgroups and its characterization, J. Algebra 3 (1966), 147 – 186. · Zbl 0214.28003 · doi:10.1016/0021-8693(66)90010-X
[13] G. J. Janusz, Indecomposable modules for finite groups, Ann. of Math. (2) 89 (1969), 209 – 241. · Zbl 0197.02302 · doi:10.2307/1970666
[14] Bruce Rothschild, Degrees of irreducible modular characters of blocks with cyclic defect groups, Bull. Amer. Math. Soc. 73 (1967), 102 – 104. · Zbl 0157.36203
[15] John G. Thompson, Vertices and sources, J. Algebra 6 (1967), 1 – 6. · Zbl 0167.29902 · doi:10.1016/0021-8693(67)90009-9
[16] Hsio-Fu Tuan, On groups whose orders contain a prime number to the first power, Ann. of Math. (2) 45 (1944), 110 – 140. · Zbl 0061.03704 · doi:10.2307/1969079
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