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Communications in Algebra Volume 30, 2002 - Issue 4
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Original Articles

p -SOLVABILITY AND A GENERALIZATION OF PRIME GRAPHS OF FINITE GROUPS

Nobuo Iiyori Department of Mathematics, Yamaguchi University, Yamaguchi, 753-8512, Japan
Pages 1679-1691 | Received 01 Jan 2000, Published online: 01 Sep 2006

REFERENCES

  • Abe , S. and Iiyori , N. A Generalization of Prime Graphs of Finite Groups to appear in Hokkaido Math. J.
  • Conway , J.H. et al. 1985 . Atlas of Finite Groups London/New York : Oxford Univ. Press (Cleandon) .
  • Brandl , R. and Shi , W. 1991 . Finite Groups whose Element Orders are Consecutive Integer . J. Algebra , 143 : 388 – 400 .
  • Cater , R. 1989 . Simple Groups of Lie Type London-New York-Sydney-Toronto : John Wiley & Sons .
  • Chang , B. 1968 . The Conjugate Classes of Chevalley Groups of Type . J. Algebra , 9 : 190 – 211 .
  • Deriziotis , D. 1983 . The Centralizers of Semi-simple Elements of the Chevalley Groups and . Tokyo J. Math. , 6 : 191 – 216 .
  • Du , Z. Strengthened Hall's Conjecture for the Solvability of Finite Groups preprint
  • Enomoto , H. 1970 . The Conjugacy Classes of Chevalley Groups of Type over Finite Fields of Characteristic 2 or 3 . J. Fac. Sci. Univ. Tokyo , 16 : 497 – 512 .
  • Iiyori , N. and Yamaki , H. 1992 . A Conjecture of Frobenius and the Simple Groups of Lie Type III . J. Algebra , 145 : 329 – 332 .
  • Iiyori , N. and Yamaki , H. 1993 . Prime Graph Components of the Simple Group of Lie Type over the Field of Even Characteristic . J. Algebra , 155 : 335 – 343 .
  • Iiyori , N. 1993 . A Conjecture of Frobenius and the Simple Groups of Lie Type IV . J. Algebra , 154 : 188 – 214 .
  • Kleidman , P.B. 1988 . The Maximal Subgroups of the Steinberg Trialiy Groups and their Automorphism Groups . J. Algebra , 115 : 182 – 199 .
  • Shinoda , K. 1974 . The Conjugacy Classes of Chevalley Groups of Type over Finite Fields of Characteristic 2 . J. Fac. Sci. Univ. Tokyo , 21 : 133 – 159 .
  • Shinoda , K. 1975 . The Conjugacy Classes of the Finite Ree Groups of Type . J. Fac. Sci. Univ. Tokyo , 22 : 1 – 15 .
  • Shoji , T. 1975 . The Conjugacy Classes of Chevalley Groups of Type over Finite Fields of Characteristic p≠2 . J. Fac. Sci. Univ. Tokyo , 21 : 1 – 17 .
  • Suprunenko , D. 1963 . Soluble and Nilpotent Linear Groups . Translations of Mathematical Monograph , 9
  • Suzuki , M. 1962 . On a Class of Doubly Transitive Groups . Ann. of Math. , 75 : 105 – 145 .
  • Suzuki , M. 1982 . Group Theory I, II Berlin-Heidelberg-New York : Springer .
  • Williams , J.S. 1981 . Prime Graph Components of Finite Groups . J. Algebra , 69 : 487 – 513 .
  • Yamaki , H. 1984 . A Conjecture of Frobenius and the Simple Groups of Lie Type I . Arch. Math. , 42 : 344 – 347 .
  • 1985 . II,J. Algebra , 96 : 391 – 396 .

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