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Published online by Cambridge University Press: 20 January 2009
In the following paper I give a complete list of the types of covariants belonging to the concomitant system of three quaternary quadrics, where covariant is used in its restricted sense and refers solely to a concomitant involving the variable x alone. A complete list of the types, 62 in number, is given in §1. In §§(6–10) the covariants are determined, and in §§(11–12) a list of the identities used in the reduction of the covariants is given, along with typical examples of the process.
* The covariant is reducible.
** The covariant is reducible unlesss (A, B), (B, O), (c, A) = (AB), (BC) (CA) respectively.
† Cf. Proc. L.M.S., loc. cit., 488.
‡ Cf. loc. cit. 477.
* Proc. Lond. Math. Soc., 2.23, 423–7 (1924).Google Scholar