On a conjecture of Frobenius
Nobuo Iiyori and Hiroyoshi Yamaki
Source: Bull. Amer. Math. Soc. (N.S.) Volume 25, Number 2 (1991), 413-416.
Primary Subjects: 20D05, 20D06, 20D08
Secondary Subjects: 20B05
Full-text: Open access
Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.bams/1183657190
Mathematical Reviews number (MathSciNet):
MR1102753
Zentralblatt MATH identifier:
0731.20010
References
1. H. I. Blau, On trivial intersection of cyclic Sylow subgroups, Proc. Amer. Math. Soc. 94 (1985), 572-576.
Zentralblatt MATH:
0575.20014
Mathematical Reviews (MathSciNet):
MR792262
2. R. W. Carter, Conjugacy classes in the Weyl group, Compositio Math. 25 (1972), 1-59.
Zentralblatt MATH:
0254.17005
Mathematical Reviews (MathSciNet):
MR318337
3. J. H. Conway, R. T. Curtis, S. P. Norton, R. A. Parker, and R. A. Wilson, Atlas of Finite Groups, Clarendon Press, Oxford, 1985.
Zentralblatt MATH:
0568.20001
Mathematical Reviews (MathSciNet):
MR827219
4. G. Frobenius, Verallgemeinerung des Sylowschen Satze, Berliner Sitz. (1895), pp. 981-993.
Jahrbuch database (Zbl):
26.0158.01
5. D. Gorenstein, The Classification of Finite Simple Groups, Vol.1, Plenum Press, New York, 1983.
Zentralblatt MATH:
0609.20006
Mathematical Reviews (MathSciNet):
MR746470
6. M. Hall, The Theory of Groups, Macmillan, New York, 1959.
Zentralblatt MATH:
0084.02202
Mathematical Reviews (MathSciNet):
MR103215
7. N. Iiyori, A conjecture of Frobenius and the simple groups of Lie type, IV, J. Algebra (to appear).
Zentralblatt MATH:
0814.20019
Mathematical Reviews (MathSciNet):
MR1201919
8. N. Iiyori and H. Yamaki, A conjecture of Frobenius and the simple groups of Lie type, III, J. Algebra (to appear).
Zentralblatt MATH:
0745.20014
Mathematical Reviews (MathSciNet):
MR1144935
9. N. Iiyori and H. Yamaki, Prime graph components of the simple groups of Lie type over the field of even characteristic, Proc. Japan Acad. 67 (1991), 82-83.
Zentralblatt MATH:
0770.20013
Mathematical Reviews (MathSciNet):
MR1105528
10. M. Murai, On a conjecture of Frobenius, Sugaku 35 (1983), 82-84. (Japanese)
Mathematical Reviews (MathSciNet):
MR699109
11. J. Rust, On a conjecture of Frobenius, Ph.D. Thesis, Univ. of Chicago, 1966.
12. R. Steinberg, Endomorphisms of linear algebraic groups, Mem. Amer. Math. Soc. 80 (1968).
Zentralblatt MATH:
0164.02902
Mathematical Reviews (MathSciNet):
MR230728
13. J. S. Williams, Prime graph components of finite groups, J. Algebra 69 (1981), 487-513.
Zentralblatt MATH:
0471.20013
Mathematical Reviews (MathSciNet):
MR617092
14. H. Yamaki, A conjecture of Frobenius and the sporadic simple groups, I, Comm. Algebra 11 (1983), 2513-2518; II, Math. Comp. 46 (1986), 609-611; Supplement, Math. Comp. 46 (1986), S43-S46.
Zentralblatt MATH:
0585.20007
Mathematical Reviews (MathSciNet):
MR733339
15. H. Yamaki, A conjecture of Frobenius and the simple groups of Lie type, I, Arch. Math. 42 (1984), 344-347; II, J. Algebra 96 (1985), 391-396.
Zentralblatt MATH:
0572.20013
Mathematical Reviews (MathSciNet):
MR810536
16. R. Zemlin, On a conjecture arising from a theorem of Frobenius, Ph.D. Thesis, Ohio State Univ., 1954.
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