40
Views
0
CrossRef citations to date
0
Altmetric
Original Articles

A characterization of the symplectic and unitary 3-transposition groups

Pages 3379-3403 | Received 01 Jun 1994, Published online: 27 Jun 2007

References

  • Buekenhout , F. 1974 . La geometrie des groupes de Fischer, unpublished notes , Free University of Brussels .
  • Buekenhout , F. and Shult , E.E. 1974 . On the foundations of polar geometry . Georn. Dedicata , 3 : 155 – 170 .
  • Cohen , A.M. and Shult , E.E. 1990 . Affine polar spaces . Georn. Dedicata , 35 : 43 – 76 .
  • Cuypers , H. 1990 . On a generalization of Fischer spaces . Georn. Dedicata , 34 : 67 – 87 .
  • Cuypers , H. and Hall , J.I. 1992 . 3-Transposition groups of orthogonal type . J.of Algebra , 152 : 342 – 373 .
  • Cuypers , H. and Hall , J.I. 1990 . The classification of 3-transposition groups with trivial center, in Groups, Combinatorics and Geometry, . proceedings of the L.M.S. symposium on Group Theory and Combinatorics , 165 : 121 – 138 .
  • Cuypers , H.J.I. and Hall . 1990 . The 3-transposition groups with trivial center . J. of Algebra. , 165
  • Fischer , B. 1971 . Finite groups generated by 3-transpositions I . Inv. Math. , 13 : 232 – 246 .
  • Fischer , B. 1969 . Finite groups generated by 3-transpositions , 13
  • Hall , J.I. and graphs , Geometry . 1989 . 3-transpositions, and symplectic F2-transvection groups . Proc. London Math. Soc , 58 : 89 – 111 .
  • Hall , J.I. 1989 . Some 3-transposition groups with normal 2-groups . Proc. London Math. Soc. , 58 : 112 – 136 .
  • Hall , J.I. 1992 . 3-Transposition groups with non-central normal 2-subgroups . J. of Algebra , 146 : 49 – 76 .
  • M , Hall Jr . 1992 . Automorphisms of Steiner triple systems . , Proc. Symp. in Pure Math , 6 : 47 – 66 .
  • Timmesfeld , F. 1990 . Groups generated by A;-transvections . Inv. Math , 100 : 169 – 206 .
  • Weiss , R. 1983 . On Fischer's characterization of the groups Sp2n(2) and Un(2) . Comrn. Algebra , 11 : 2527 – 2554 .
  • Weiss , R. 1985 . A uniqueness lemma for groups generated by 3-transpositions . Math. Proc. Cambridge Philos. Soc. , 97 : 421 – 431 .
  • Zara , F. 1984 . Classification des couples fischeriens , Universite de Picardie .
  • Zara , F. 1988 . A first step towards a classification of Fischer groups . Georn. Ded-icata , 25 : 503 – 512 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.