Hostname: page-component-7479d7b7d-jwnkl Total loading time: 0 Render date: 2024-07-11T14:14:24.421Z Has data issue: false hasContentIssue false
  • English
  • Français

Free modules over some modular group rings

Published online by Cambridge University Press:  09 April 2009

Jon F. Carlson
Jon F. Carlson
Affiliation:
University of Georgia, Athens, Georgia 30602, U.S.A.
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.

Let K be a field and G a finite group with subgroup H. We say that (G H) is a K-free pair if whenever M is a finitely generated KG-module whose restriction MH is a free KH-module, then M is a free KG-module. In this paper pairs of groups with this property will be investigated.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 21 , Issue 1 , February 1976 , pp. 49 - 55
Copyright
Copyright © Australian Mathematical Society 1976

References

Basev, V. A. (1961), ‘Representations of the group Z2 x Z2 in a field of characteristic 2’, (Russian), Dokl. Akad. Nauk. SSSR 141 1015–1018.Google Scholar
Bass, Hyman (1968), Algebraic K-Theory (Benjamin, New York, 1968.)Google Scholar
Conlon, S. B. (1964), ‘Certain representation algebras’, J. Austral. Math. Soc. 4 83–99.Google Scholar
Curtis, Charles W. and Reiner, Irving (1962), Representation theory of finite groups and associative algebras (Interscience, New York, 1962.)Google Scholar
Heller, A. and Reiner, I. (1961), ‘Indecomposable representations’, Illinois J. Math. 5 314–323.CrossRefGoogle Scholar