Hostname: page-component-7479d7b7d-pfhbr Total loading time: 0 Render date: 2024-07-08T13:21:42.569Z Has data issue: false hasContentIssue false
  • English
  • Français

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.
Get access Rights & Permissions [Opens in a new window]

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

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