On the center of some finite linear groups
HTML articles powered by AMS MathViewer
- by Harvey I. Blau PDF
- Proc. Amer. Math. Soc. 53 (1975), 41-44 Request permission
Abstract:
This note proves two results, one in characteristic $p$ and the other in characteristic zero, which restrict the order of the center of some finite linear groups of degree less than a prime $p$ which divides the group order.References
- Harvey I. Blau, Under the degree of some finite linear groups, Trans. Amer. Math. Soc. 155 (1971), 95β113. MR 274604, DOI 10.1090/S0002-9947-1971-0274604-X
- Harvey I. Blau, An inequality for complex linear groups of small degree, Proc. Amer. Math. Soc. 28 (1971), 405β408. MR 274601, DOI 10.1090/S0002-9939-1971-0274601-X
- Harvey I. Blau, Finite groups where two small degrees are not too small, J. Algebra 28 (1974), 541β555. MR 437629, DOI 10.1016/0021-8693(74)90059-3
- 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, Some results on finite groups whose order contains a prime to the first power, Nagoya Math. J. 27 (1966), 381β399. MR 199253
- Richard Brauer, Γber endliche lineare Gruppen von Primzahlgrad, Math. Ann. 169 (1967), 73β96 (German). MR 206088, DOI 10.1007/BF01399532
- Walter Feit, Groups with a cyclic Sylow subgroup, Nagoya Math. J. 27 (1966), 571β584. MR 199255
- Walter Feit, On finite linear groups, J. Algebra 5 (1967), 378β400. MR 207818, DOI 10.1016/0021-8693(67)90049-X
- Walter Feit, On finite linear groups. II, J. Algebra 30 (1974), 496β506. MR 357634, DOI 10.1016/0021-8693(74)90220-8
- John G. Thompson, Vertices and sources, J. Algebra 6 (1967), 1β6. MR 207863, DOI 10.1016/0021-8693(67)90009-9
Additional Information
- © Copyright 1975 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 53 (1975), 41-44
- MSC: Primary 20C05
- DOI: https://doi.org/10.1090/S0002-9939-1975-0379643-5
- MathSciNet review: 0379643