On a conjecture of Frobenius
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- by Nobuo Iiyori and Hiroyoshi Yamaki PDF
- Bull. Amer. Math. Soc. 25 (1991), 413-416
References
- Harvey I. Blau, On trivial intersection of cyclic Sylow subgroups, Proc. Amer. Math. Soc. 94 (1985), no. 4, 572–576. MR 792262, DOI 10.1090/S0002-9939-1985-0792262-8
- R. W. Carter, Conjugacy classes in the Weyl group, Compositio Math. 25 (1972), 1–59. MR 318337
- J. H. Conway, R. T. Curtis, S. P. Norton, R. A. Parker, and R. A. Wilson, $\Bbb {ATLAS}$ of finite groups, Oxford University Press, Eynsham, 1985. Maximal subgroups and ordinary characters for simple groups; With computational assistance from J. G. Thackray. MR 827219 4. G. Frobenius, Verallgemeinerung des Sylowschen Satze, Berliner Sitz. (1895), pp. 981-993.
- Daniel Gorenstein, The classification of finite simple groups. Vol. 1, The University Series in Mathematics, Plenum Press, New York, 1983. Groups of noncharacteristic $2$ type. MR 746470, DOI 10.1007/978-1-4613-3685-3
- Marshall Hall Jr., The theory of groups, The Macmillan Company, New York, N.Y., 1959. MR 0103215
- Nobuo Iiyori, A conjecture of Frobenius and the simple groups of Lie type. IV, J. Algebra 154 (1993), no. 1, 188–214. MR 1201919, DOI 10.1006/jabr.1993.1011
- Nobuo Iiyori and Hiroyoshi Yamaki, A conjecture of Frobenius and the simple groups of Lie type. III, J. Algebra 145 (1992), no. 2, 329–332. MR 1144935, DOI 10.1016/0021-8693(92)90105-U
- Nobuo Iiyori and Hiroyoshi Yamaki, Prime graph components of the simple groups of Lie type over the field of even characteristic, Proc. Japan Acad. Ser. A Math. Sci. 67 (1991), no. 3, 82–83. MR 1105528
- Masafumi Murai, On the Frobenius conjecture, Sūgaku 35 (1983), no. 1, 82–84 (Japanese). MR 699109 11. J. Rust, On a conjecture of Frobenius, Ph.D. Thesis, Univ. of Chicago, 1966.
- Robert Steinberg, Endomorphisms of linear algebraic groups, Memoirs of the American Mathematical Society, No. 80, American Mathematical Society, Providence, R.I., 1968. MR 0230728
- J. S. Williams, Prime graph components of finite groups, J. Algebra 69 (1981), no. 2, 487–513. MR 617092, DOI 10.1016/0021-8693(81)90218-0
- Hiroyoshi Yamaki, A conjecture of Frobenius and the sporadic simple groups, Comm. Algebra 11 (1983), no. 22, 2513–2518. MR 733339, DOI 10.1080/00927878308822977
- Hiroyoshi Yamaki, A conjecture of Frobenius and the simple groups of Lie type. II, J. Algebra 96 (1985), no. 2, 391–396. MR 810536, DOI 10.1016/0021-8693(85)90017-1 16. R. Zemlin, On a conjecture arising from a theorem of Frobenius, Ph.D. Thesis, Ohio State Univ., 1954.
Additional Information
- Journal: Bull. Amer. Math. Soc. 25 (1991), 413-416
- MSC (1985): Primary 20D05, 20D06, 20D08; Secondary 20B05
- DOI: https://doi.org/10.1090/S0273-0979-1991-16084-2
- MathSciNet review: 1102753