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Linear Substitutions and their Invariants

Published online by Cambridge University Press:  20 January 2009

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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.)

Type
Research Article
Copyright
Copyright © Edinburgh Mathematical Society 1911

References

* Hilton, Finite Groups, III. 6.

* Russell, Pure Geometry, Ch. XXXI.