DEDICATED TO PROFESSORS EIICHI BANNAI AND ETSUKO BANNAI J. A. Green proved a theorem which is the converse of a theorem of R. Brauer ลฝ . 1955, Proc. Camb. Philos. Soc. 51, 237แ239 . The present author gave another proof of the theorem by making an application of the characteristic class functions of
On a Theorem of J. A. Green
โ Scribed by Kenichi Yamauchi
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 117 KB
- Volume
- 209
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
โฆ Synopsis
In this article we give another proof of the theorem concretely without using Frobenius's formula for induced characters and we also state some comments on Brauer's induction theorem. แฎ 1998 Academic Press
1. Introduction
Throughout this article, G, Z, and C denote a finite group, the ring of rational integers and the field of complex numbers, respectively. For a < < finite set S we denote the number of elements in S by S and for a < < < < rational prime p we denote the p-part of S by S .
๐ SIMILAR VOLUMES
Consider any matrix of zeros and ones with at most n ones in each row and fewer than (k+1) n ones in all. Ossowski showed that, by deleting no more than k columns, one can get a matrix which contains no r\_(n&r+1) submatrix of ones for r=1, 2, ..., n. We give a short proof of Ossowski's theorem in t