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Classical groups over division rings of characteristic two: Corrigenda and an acknowledgement

Published online by Cambridge University Press:  17 April 2009

William M. Pender
William M. Pender
Affiliation:
Department of Pure Mathematics, University of Sydney, Sydney, New South Wales.
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In my paper [1], part (b) of Lemma 3.4 and the remark following it are incorrect and should be omitted.

The isometry P in page 215, line 2, need not be a generator of T(E, q) as asserted, but can be shown to lie in T(E, q).

I am indebted to Professor Tits for pointing out that extended ideas of quadratic forms have already appeared in his paper [2] and in Wall's paper [3]. Professor Tits also discusses the corresponding groups and Clifford algebras in detail.

Type
Corrigendum
Information
Bulletin of the Australian Mathematical Society , Volume 7 , Issue 2 , October 1972 , pp. 319
Copyright
Copyright © Australian Mathematical Society 1972

References

[1]Pender, William M., “Classical groups over division rings of characteristic two”, Bull. Austral. Math. Soc. 7 (1972), 191–226.CrossRefGoogle Scholar
[2]Tits, J., “Formes quadratiques, groupes orthogonaux et algèbres de Clifford”, Invent. Math. 5 (1968), 19–41.CrossRefGoogle Scholar
[3]Wall, C.T.C., “On the axiomatic foundations of the theory of Hermitian forms”, Proc. Cambridge Philos. Soc. 67 (1970), 243–250.CrossRefGoogle Scholar