Cayley orders

Arjeh M. Cohen; Gabriele Nebe; Wilhelm Plesken

Compositio Mathematica (1996)

  • Volume: 103, Issue: 1, page 63-74
  • ISSN: 0010-437X

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Cohen, Arjeh M., Nebe, Gabriele, and Plesken, Wilhelm. "Cayley orders." Compositio Mathematica 103.1 (1996): 63-74. <http://eudml.org/doc/90461>.

@article{Cohen1996,
author = {Cohen, Arjeh M., Nebe, Gabriele, Plesken, Wilhelm},
journal = {Compositio Mathematica},
keywords = {real simple Lie group of type ; real Cayley division ring; maximal finite subgroups; Cayley orders},
language = {eng},
number = {1},
pages = {63-74},
publisher = {Kluwer Academic Publishers},
title = {Cayley orders},
url = {http://eudml.org/doc/90461},
volume = {103},
year = {1996},
}

TY - JOUR
AU - Cohen, Arjeh M.
AU - Nebe, Gabriele
AU - Plesken, Wilhelm
TI - Cayley orders
JO - Compositio Mathematica
PY - 1996
PB - Kluwer Academic Publishers
VL - 103
IS - 1
SP - 63
EP - 74
LA - eng
KW - real simple Lie group of type ; real Cayley division ring; maximal finite subgroups; Cayley orders
UR - http://eudml.org/doc/90461
ER -

References

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  1. [CoW 83] Cohen, A.M. and Wales, D.B.: Finite subgroups of G2(C), Comm. Algebra, 11 (1983) 441-459. Zbl0517.20020MR689418
  2. [CoW 94] Cohen, A.M. and Wales, D.B.: Finite simple subgroups of semisimple complex Lie groups - a survey, pp. 77-96 in "Groups of Lie type and their geometries ", eds. W. M. Kantor and L. Di Martino, LMS Lecture Notes, no. 207, Cambridge University Press, 1995. Zbl0849.20010MR1320515
  3. [Cox 46] Coxeter, H.S.M.: Integral Cayley Numbers, Duke Math. J.13 (1946) 561-578. Zbl0063.01004MR19111
  4. [Dic 23] Dickson, L.E.: A new simple theory of hypercomplex integers, Journal de Mathématiques Pures et Appliquées (9), Vol. 2 (1923), 281-326. Zbl49.0089.01JFM49.0089.01
  5. [Gri 94] Griess, Jr., R.L.: Basic Conjugacy Theorems for G2, Preprint 1994, University of Michigan, Ann Arbor. 
  6. [HoP 89] Holt, D.F. and Plesken, W.: Perfect Groups, Oxford University Press1989. Zbl0691.20001MR1025760
  7. [JLPW 94] Jansen, C., Lux, K., Parker, R.A. and Wilson, R.A.: An Atlas of Brauer Characters. In preparation. Zbl0831.20001
  8. [Reh 94] Rehm, H.P.: Prime factorization of integral Cayley octaves, Annales de la Faculté des Sciences de Toulouse, Vol. II, no. 2, (1993) 271-289. Zbl0830.17017MR1253392
  9. [Sch 85] Scharlau, W.: Quadratic and Hermitian Forms, Springer-Verlag, 1985. Zbl0584.10010MR770063
  10. [Slo 93] Slodowy, P.: Two notes on a finiteness problem in the representation theory of finite groups, Hamburger Beiträge zur Mathematik, Heft 21, 1993, Universität Hamburg. MR1635690
  11. [Spr 63] Springer, T.A.: Oktaven, Jordan-Algebren und Ausnahmegruppen, Lecture Notes, Göttingen1963. 
  12. [vdBS 59] van der Blij, F. and Springer, T.A.: The arithmetics of octaves and of the group G2, Proc. Nederl. Akad. Wet. (1959) 406-418. Zbl0089.25803
  13. [Wei 64] Weil, A.: Remarks on the cohomology of groups, Annals of Math.80 (1964) 149-157. Zbl0192.12802MR169956

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