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On the Groups defined for an Arbitrary Field by the Multiplication Tables of certain Finite Groups

✍ Scribed by Dickson, L. E.

Book ID: 120104112
Publisher: Oxford University Press
Year: 1902
Tongue: English
Weight: 359 KB
Volume: s1-35
Category: Article
ISSN: 0024-6115
DOI: 10.1112/plms/s1-35.1.68

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## Dedicated to Professor J. Tits on the occasion of his sixtieth birthday ABSTRACT. Let G be SL,(k) or Sp(2n, k), k a field. Then a criterion for a ZG-module V to be the direct sum of natural, resp. natural and dual, kG-modules is given. In fact this criterion holds for perfect central extensions