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Alternating trilinear forms and groups of exponent 6

Published online by Cambridge University Press:  09 April 2009

M. D. Atkinson
M. D. Atkinson
Affiliation:
The Queen's College, Oxford, England
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The theory of alternating bilinear forms on finite dimensional vector spaces V is well understood; two forms on V are equivalent if and only if they have equal ranks. The situation for alternating trilinear forms is much harder. This is partly because the number of forms of a given dimension is not independent of the underlying field and so there is no useful canonical description of an alternating trilinear form.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 16 , Issue 1 , August 1973 , pp. 111 - 128
Copyright
Copyright © Australian Mathematical Society 1973

References

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