Hostname: page-component-586b7cd67f-dsjbd Total loading time: 0 Render date: 2024-11-27T23:22:52.572Z Has data issue: false hasContentIssue false
  • English
  • Français

On characters of height zero

Part of: Representation theory of groups

Published online by Cambridge University Press:  09 April 2009

B. G. Basmaji
B. G. Basmaji
Affiliation:
Mathematics and Computer Science Department, California State University, Los Angeles, California 90032, U.S.A.
Rights & Permissions [Opens in a new window]

Abstract

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.

Every irreducible ordinary character in a p-block of a finite metabelian group is of height 0 if and only if the defect group of the p-block is abelian.

Keywords

charactersrepresentationsmodular representationsp-blocksdefect groupsheight of characters

MSC classification

Secondary: 20C15: Ordinary representations and characters 20C20: Modular representations and characters
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 31 , Issue 4 , December 1981 , pp. 508 - 510
Copyright
Copyright © Australian Mathematical Society 1981

References

[1]Basmaji, B. G., ‘Modular representation of metabelian groups’, Trans. Amer. Math. Soc. 169 (1972), 389–399. MR 46 # 9153.CrossRefGoogle Scholar
[2]Fong, P., ‘Some properties of characters of finite solvable groups’, Bull. Amer. Math. Soc. 66 (1960), 116–117. MR 22 #2655.CrossRefGoogle Scholar
[3]Fong, P., ‘On the characters of p-solvable groups’, Trans. Amer. Math. Soc. 98 (1961), 263–284. MR 22 #11052.Google Scholar
[4]Fong, P., ‘Solvable groups and modular representation theory’, Trans. Amer. Math. Soc. 103 (1962), 484–494. MR 25 #3098.CrossRefGoogle Scholar
[5]Fong, P., ‘A note on a conjecture of Brauer’, Nagoya Math. J. 22 (1963), 1–13. MR 27 #3703.CrossRefGoogle Scholar