Geodesic
Nonabelian Sylow subgroups of finite groups of even order
Chigira, Naoki1 ; Iiyori, Nobuo2 ; Yamaki, Hiroyoshi3
1 Department of Mathematical Sciences, Muroran Institute of Technology, Hokkaido 050-8585, Japan
2 Department of Mathematics, Faculty of Education, Yamaguchi University, Yamaguchi 753-8512, Japan
3 Department of Mathematics, Kumamoto University, Kumamoto 860-8555, Japan
Electronic research announcements of the American Mathematical Society, Tome 04 (1998), pp. 88-90.

Voir la notice de l'article provenant de la source American Mathematical Society

We have been able to prove that every nonabelian Sylow subgroup of a finite group of even order contains a nontrivial element which commutes with an involution. The proof depends upon the consequences of the classification of finite simple groups.
DOI : 10.1090/S1079-6762-98-00051-1

Chigira, Naoki 1 ; Iiyori, Nobuo 2 ; Yamaki, Hiroyoshi 3

1 Department of Mathematical Sciences, Muroran Institute of Technology, Hokkaido 050-8585, Japan
2 Department of Mathematics, Faculty of Education, Yamaguchi University, Yamaguchi 753-8512, Japan
3 Department of Mathematics, Kumamoto University, Kumamoto 860-8555, Japan 
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Chigira, Naoki; Iiyori, Nobuo; Yamaki, Hiroyoshi. Nonabelian Sylow subgroups of finite groups of even order. Electronic research announcements of the American Mathematical Society, Tome 04 (1998), pp. 88-90. doi : 10.1090/S1079-6762-98-00051-1. http://geodesic.mathdoc.fr/articles/10.1090/S1079-6762-98-00051-1/

[1] Iiyori, Nobuo Sharp characters and prime graphs of finite groups J. Algebra 1994 1 8

[2] Iiyori, Nobuo A conjecture of Frobenius and the simple groups of Lie type. IV J. Algebra 1993 188 214

[3] Iiyori, Nobuo, Yamaki, Hiroyoshi On a conjecture of Frobenius Bull. Amer. Math. Soc. (N.S.) 1991 413 416

[4] Iiyori, Nobuo, Yamaki, Hiroyoshi A conjecture of Frobenius and the simple groups of Lie type. III J. Algebra 1992 329 332

[5] Sugaku Expositions 1996 1 116

[6] Iiyori, Nobuo, Yamaki, Hiroyoshi Prime graph components of the simple groups of Lie type over the field of even characteristic J. Algebra 1993 335 343

[7] Kondrat′Ev, A. S. On prime graph components of finite simple groups Mat. Sb. 1989

[8] Williams, J. S. Prime graph components of finite groups J. Algebra 1981 487 513

[9] Yamaki, Hiroyoshi A characterization of the Suzuki simple group of order 448,345,497,600 J. Algebra 1976 229 244

[10] Yamaki, Hiroyoshi A conjecture of Frobenius and the sporadic simple groups Comm. Algebra 1983 2513 2518

[11] Yamaki, Hiroyoshi A conjecture of Frobenius and the simple groups of Lie type. I Arch. Math. (Basel) 1984 344 347

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