THE third and concluding volume of Prof. Dickson's great work deals first with the arithmetical. theory of binary quadratic forms. A long chapter on the class-number is contributed by Mr. G. H.… Expand

1. WYe shall determine m functions which form a fundamental system of invariants for the group Gm of all linear homogeneous transformations on ns variables with coefficients in the Galois field of… Expand

does not vanish. Hence the condition that right hand [left baiid] division shall always be uniquely possible is that A,. [Al] shall vanish only when every a. vanishes. Now either of these conditions… Expand

1. We consider commutative linear algebras in 2n units, with coordinates in a general field F, such that n of the units define a sub-algebra forming a field F( J). The elements of the algebra may be… Expand