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    Devillers, Alice Giudici, Michael Li, Cai Heng and Praeger, Cheryl E. 2008. Primitive decompositions of Johnson graphs. Journal of Combinatorial Theory, Series A, Vol. 115, Issue. 6, p. 925.


    1993. Continuation of the Notas de Matemàtica.


    Griess, Robert L. 1987. Sporadic groups, code loops and nonvanishing cohomology. Journal of Pure and Applied Algebra, Vol. 44, Issue. 1-3, p. 191.


    Bell, Gregory W 1978. On the cohomology of the finite special linear groups, I. Journal of Algebra, Vol. 54, Issue. 1, p. 216.


    Bell, Gregory W 1978. On the cohomology of the finite special linear groups, II. Journal of Algebra, Vol. 54, Issue. 1, p. 239.


    Griess, Robert L 1976. On a subgroup of order 215 ¦GL (5,2) ¦in E8 (C), the Dempwolff group and aut (D8 o D8 o D8). Journal of Algebra, Vol. 40, Issue. 1, p. 271.


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  • Currently known as: Journal of the Australian Mathematical Society Title history
    Journal of the Australian Mathematical Society, Volume 16, Issue 2
  • September 1973, pp. 207-209

On the second cohomology of GL (n, 2)

  • U. Dempwolff (a1)
  • DOI: http://dx.doi.org/10.1017/S1446788700014221
  • Published online: 01 April 2009
Abstract

The purpose of this note is to prove the following result. Theorem A. Let G be a finite group with the following properties (i) VG, &V& = 2n and V is elementary abelian, (ii) G/VGL(n, 2), (iii) CG(V) ⊆ V. If n ≧ 6 then G splits over V.

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Journal of the Australian Mathematical Society
  • ISSN: 1446-7887
  • EISSN: 1446-8107
  • URL: /core/journals/journal-of-the-australian-mathematical-society
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