Abstract
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.
Publisher
Cambridge University Press (CUP)
Reference5 articles.
1. Varieties of Groups
2. [1] Atkinson M. D. , D. Phil. thesis, (Oxford, 1970).
3. Solution of the Burnside problem for exponent 6;Hall;Illinois. J. Math.,1958
4. The p-length of a p-soluble group and reduction theorems for Burnside's problem;Higman;Proc. London Math. Soc.,1956
Cited by
7 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献
1. Practical Post-Quantum Signature Schemes from Isomorphism Problems of Trilinear Forms;Advances in Cryptology – EUROCRYPT 2022;2022
2. Nilpotent symplectic alternating algebras I;Journal of Algebra;2015-02
3. SYMPLECTIC ALTERNATING ALGEBRAS;International Journal of Algebra and Computation;2008-06
4. Metanilpotent varieties of groups;Journal of the Australian Mathematical Society;2002-08
5. Ordering finite groups by involvement;Journal of the Australian Mathematical Society;1975-06