The brauer trees of the ree groups

Hiß, Gerhard

doi:10.1080/00927879108824175

Cited by 44 publications

(88 citation statements)

References 5 publications

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“…The Brauer trees for 47-blocks as described in [10] show that we can take j of degree 21296876 when p ¼ 47. Assume that p ¼ 71.…”

Section: Simple Groupsmentioning

confidence: 99%

“…Assume that p ¼ 71. As shown in [10], the Brauer tree of the principal 71-block of G contains an edge connecting 1 G and w A IrrðGÞ, with wð1Þ ¼ 842609326. It follows thatŵ w contains 1 G with multiplicity 1.…”

Section: Simple Groupsmentioning

confidence: 99%

“…For some of them, we can use [14], [15], or [2] to find a desired j. For some others, we will use results of [10] on Brauer trees to find j. We will indicate one possible choice for jð1Þ in what follows.…”

Section: Simple Groupsmentioning

confidence: 99%

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On p-Brauer characters of p′-degree and self-normalizing Sylow p-subgroups

Navarro¹,

Tiep²

2010

Journal of Group Theory

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“…The Brauer trees for 47-blocks as described in [10] show that we can take j of degree 21296876 when p ¼ 47. Assume that p ¼ 71.…”

Section: Simple Groupsmentioning

confidence: 99%

Section: Simple Groupsmentioning

confidence: 99%

See 1 more Smart Citation

On p-Brauer characters of p′-degree and self-normalizing Sylow p-subgroups

Navarro¹,

Tiep²

2010

Journal of Group Theory

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“…In the following examples we shall use Brauer trees computed by Hiss and Lux in [5]. The geometric type of simple self-dual modules, i.e.…”

Section: Examplesmentioning

confidence: 99%

On Morita Theory for Self-Dual Modules

Willems¹,

Zimmermann²

2008

The Quarterly Journal of Mathematics

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Abstract. Let G be a finite group and let k be a field of characteristic p. It is known that a kG-module V carries a non-degenerate G-invariant bilinear form b if and only if V is self-dual. We show that whenever a Morita bimodule M which induces an equivalence between two blocks B(kG) and B(kH) of group algebras kG and kH is self-dual then the correspondence preserves self-duality. Even more, if the bilinear form on M is symmetric then for p odd the correspondence preserves the geometric type of simple modules. In characteristic 2 this holds also true for projective modules.

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“…If p = 3, then an element τ ∈ E\G permutes the pairs (C(i), C(j)) for (i, j) ∈ {(7, 9), (8,10), (11,15), (14,16)…”

Section: Radical Subgroups and Weights Of Fi 22mentioning

confidence: 99%