Hostname: page-component-8448b6f56d-xtgtn Total loading time: 0 Render date: 2024-04-23T16:01:19.953Z Has data issue: false hasContentIssue false
  • English
  • Français

On Orders In Separable Algebras

Published online by Cambridge University Press:  20 November 2018

D. G. Higman
D. G. Higman*
Affiliation:
Montana State University, Missoula, Montana
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

Introduction. The present note began from the observation that the arguments produced by J-M. Maranda in developing his very interesting theory of representations of groups by automorphisms of modules over Dedekind rings (4, 5) were applicable without essential change to arbitrary orders, instead of just group rings, provided that a suitable generalization of Theorem 1 of (4) could be supplied.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 7 , 1955 , pp. 509 - 515
Copyright
Copyright © Canadian Mathematical Society 1955

References

1. Deuring, M., Algebren (Berlin, 1937).Google Scholar
2. Higman, D. G., Induced and produced modules, Can. J. Math., 7 (1955), 490–508.Google Scholar
3. Hochschild, G., On the cohomology theory for associative algebras, Ann. Math., 47 (1946), 568–579.Google Scholar
4. Maranda, J.-M., On the p-adic integral representations of finite groups, Can. J. Math., 5 (1953), 344–355.Google Scholar
5. Maranda, J.-M., On the equivalence of representations of finite groups by groups of automorphisms of modules over Dedekind rings, Can. J. Math., 7 (1955), 516–526.Google Scholar