✦ LIBER ✦

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

✍ Scribed by Jianbei An

Publisher: Elsevier Science
Year: 1998
Tongue: English
Weight: 272 KB
Volume: 203
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.1997.7287

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✦ Synopsis

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 conjecture of Olsson are confirmed for 4 the group when the characteristic of the modular representation is distinct from the defining characteristic of the group.

📜 SIMILAR VOLUMES

Dade's Inductive Conjecture for the Ree

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

✍ Charles W. Eaton 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 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.