Proceedings of the Edinburgh Mathematical Society

Research Article

Linear Substitutions and their Invariants

D. G. Taylor

The main points of this paper are :—

(i) The construction of a linear substitution from its poles or linear invariants and its multipliers (§§3, 7);

(ii) a formula for r repetitions of a substitution (§ 4);

(iii) a specification of the types of linear substitutions of order r, with examples of the simplest of those types(§§9ff.);

(iv) The geometrical illustration of the case of three variables (§§15 ff.)

(Received April 15 1911)

(Revised June 14 1911)