Principal Blocks and the Steinberg Character-Reference-Cited by-同舟云学术

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Principal Blocks and the Steinberg Character

Published:2010-09 Issue:03 Volume:17 Page:361-364
ISSN:1005-3867
Container-title:Algebra Colloquium
language:en
Short-container-title:Algebra Colloq.

Author:

Hiss Gerhard¹

Affiliation:

1. Lehrstuhl D für Mathematik, RWTH Aachen University, Aachen 52056, Germany

Abstract

We determine the finite simple groups of Lie type of characteristic p, for which the Steinberg character lies in the principal ℓ-block for every prime ℓ ≠ p dividing the order of the group.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1005386710000350

Reference19 articles.

1. SEPARATING CHARACTERS BY BLOCKS

2. Block separations and inclusions

3. B. Chang and R. Ree, Symposia Mathematica, The characters of G2(q) 13 (Academic Press, London, 1974) pp. 395–413.

Cited by 7 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. The Steinberg character in the principal block of a finite reductive group;Communications in Algebra;2024-08-08

2. Principal blocks for different primes, I;Journal of Algebra;2022-11

3. The block graph of a finite group;Israel Journal of Mathematics;2021-09

4. Decomposition numbers and global properties;Journal of Algebra;2021-03

5. Trivial intersection of blocks and nilpotent subgroups;Journal of Algebra;2020-10

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