Hostname: page-component-76fb5796d-9pm4c Total loading time: 0 Render date: 2024-04-27T20:04:39.391Z Has data issue: false hasContentIssue false
  • English
  • Français

An automorphism of the symplectic group Sp4(2n)

Published online by Cambridge University Press:  24 October 2008

Anne Duncan
Anne Duncan
Affiliation:
Girton College, Cambridge
Get access Rights & Permissions [Opens in a new window]

Extract

In his discussion (3) of automorphisms of finite simple linear groups, Steinberg shows that the group denoted by B2(K) admits graph automorphisms when K is a perfect field of characteristic 2. The group B2(K) is identified in (2) as the symplectic group Sp4(K) when K is finite and of characteristic 2, and it is the object of this note to give, by means of this identification, an explicit description of the graph automorphisms of B2(2n).

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 64 , Issue 1 , January 1968 , pp. 5 - 9
Copyright
Copyright © Cambridge Philosophical Society 1968

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

(1)Edge, W. L.Quadrics over GF(2) and their relevance for the cubic surface group. Canad. J. Math. 11 (1959), 625–645.Google Scholar
(2)Ree, R.On some simple groups defined by C. Chevalley. Trans. Amer. Math. Soc. 84 (1957), 392–400.Google Scholar
(3)Steinberg, R.Automorphisms of finite linear groups. Canad. J. Math. 12 (1960), 606–615.Google Scholar
(4)Tits, J. Les groupes simples de Suzuki et de Ree. Séminaire Bourbaki, 13, exposé 210 (Paris, 1960).Google Scholar
(5)Van der Waerden, B. L.Gruppen von linearen transformationen (Chelsea Pub. Co.; New York, 1948).Google Scholar