In this note we give a short proof of a theorem of Milner concerning intersecting Sperner systems. ## 1999 Academic Press An intersecting Sperner system on [n]=[1, ..., n] is a collection of subsets of [n], no pair of which is either disjoint or nested. Milner [2] proved that an intersecting Sperner
Another Proof of a Theorem of J. A. Green
โ Scribed by Kenichi Yamauchi
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 53 KB
- Volume
- 235
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
โฆ Synopsis
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 a finite group. In this article we give another proof of the theorem which is easier than the two previous proofs of the theorem, by using the Mackey decomposition theorem.
๐ SIMILAR VOLUMES
In this article, G is a permutation group on a finite set . We write permutations on the right, so that ฮฑg is the image of ฮฑ โ by the action of g โ G. A subset S of is said to be G-regular if the stabilizer g โ G Sg = S is the identity. Our purpose is to give a direct short proof of the following t
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 r
Sane copiosam tu et uberem messem ex hoc agro collegisti, nos pauculas spicas contemptas tibi potius quam non visas. Triumphus igutur hic omnis tuus est: mihi abunde satis si armillis aut hasta donatus, sequar hunc candidae famae tuae currum. wJustus Lipsius In this paper we prove that, except fo