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A Geometrical Study of the Alternating and Symmetric Groups

Published online by Cambridge University Press:  24 October 2008

G. de B. Robinson
G. de B. Robinson
Affiliation:
St John's College.
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Extract

Let a finite group Τ be represented as an irreducible group of order N of linear substitutions on n variables,

The variables may be chosen so that the substitutions of the group leave invariant the Hermitian form

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 25 , Issue 2 , April 1929 , pp. 168 - 174
Copyright
Copyright © Cambridge Philosophical Society 1929

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References

* Loewy, , Trans. Amer. Math. Soc. IV (1903), pp. 171–177.Google Scholar

* Bieberbach, , Math. Ann. LXX (1911), pp. 297–336.CrossRefGoogle Scholar

* Berlin Sitz. XXXII (1900), pp. 516–534;Google Scholar XXXIII (1901), pp. 303–315.Google Scholar

† Journ. de Math. (1) XIX (1854), p. 178.Google ScholarCf. Miller, , Blichfeldt, and Dickson, , Finite Groups (New York, 1916), p. 240.Google Scholar

* Frobenius, , loc. cit.Google Scholar

† Burnside, , Theory of Groups, 2nd Edition (1911), p. 288.Google Scholar