✦ LIBER ✦

Dade's Inductive Conjecture for the Ree Groups of Type G2 in the Defining Characteristic

✍ Scribed by Charles W. Eaton

Publisher: Elsevier Science
Year: 2000
Tongue: English
Weight: 87 KB
Volume: 226
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.1999.8214

No coin nor oath required. For personal study only.

✦ Synopsis

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.

📜 SIMILAR VOLUMES

Dade's Conjecture for Special Linear Gro

Dade's Conjecture for Special Linear Groups in the Defining Characteristic

✍ Hideki Sukizaki 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 171 KB

For such a p-chain C we denote m j=0 N G U j by N G C , and by C we denote the length m of C. Moreover, for a given p-block B of G and a non-negative integer d, let Irr N G C B d denote the set of irreducible characters χ of N G C , such that χ belongs to a block of N G C inducing B and such that p

The Alperin and Dade Conjectures for Ree

The Alperin and Dade Conjectures for Ree Groups2F4(q2) in Non-defining Characteristics

✍ Jianbei An 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 272 KB

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