This paper is part of a program to study Alperin's weight conjecture and Dade's ordinary conjecture on counting characters in blocks for several finite groups. The local structures of radical subgroups and certain radical 3-chains of a Ree group of type F are given and the conjectures and a conjectu
โฆ LIBER โฆ
Alperin-McKay Conjecture for the Chevalley Groups G2(q)
โ Scribed by J.B. An
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 390 KB
- Volume
- 165
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
The Alperin and Dade Conjectures for Ree
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The McKay Conjecture Is True for the Spo
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๐
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๐
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โ 146 KB
The McKay conjecture states that the number of irreducible complex characters of a group G that have degree prime to p is equal to the same number for the Sylow p-normalizer in G. We verify this conjecture for the 26 sporadic simple groups.
Dade's Inductive Conjecture for the Ree
โ
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๐
Article
๐
2000
๐
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๐
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โ 87 KB
We verify the inductive form of Dade's conjecture for the finite simple groups 2 G 2 3 2m+1 , where m is a positive integer, for the prime p = 3. Together with work by J. An (1994, Indian J. Math. 36, 7-27) this completes the verification of the conjecture for this series of groups.