Cross-characteristic representations of and their restrictions to proper subgroups

Fry, A. A. Schaeffer

doi:10.1016/j.jpaa.2012.11.011

Cited by 5 publications

(3 citation statements)

References 42 publications

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“…The results we obtain in this paper contribute to solving this task in [8]. For even q the special orthogonal groups are isomorphic to symplectic groups and in this case restrictions of representations in non-defining characteristic to maximal subgroups were previously investigated in [7] and [12], for example.…”

Section: Introductionmentioning

confidence: 71%

Restricting unipotent characters in special orthogonal groups

Himstedt¹,

Noeske²

2015

LMS J. Comput. Math.

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Section: Introductionmentioning

confidence: 71%

Restricting unipotent characters in special orthogonal groups

Himstedt¹,

Noeske²

2015

LMS J. Comput. Math.

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“…If p = s = , then Seitz [34] showed that there are exactly four types of possibilities for (H, G). The possibilities (G 2 (2 a ), Sp 6 (2 a )) were completely classified by Schaeffer-Fry [32]. Also see Tiep [36] for further discussion of this case.…”

Section: ±1mentioning

confidence: 96%

Some remarks on maximal subgroups of finite classical groups

Magaard¹

2017

Finite Simple Groups: Thirty Years of The Atlas and Beyond

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Where a licence is displayed above, please note the terms and conditions of the licence govern your use of this document. When citing, please reference the published version. Take down policy While the University of Birmingham exercises care and attention in making items available there are rare occasions when an item has been uploaded in error or has been deemed to be commercially or otherwise sensitive.

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“…While applying Deligne-Lusztig theory to Sp 2n (q) with q even, it is convenient to view Sp 2n (q) as SO 2n+1 (q) ∼ = Sp 2n (q), so that G * = Sp 2n (q). The following lemma is [23,Lemma 2.4].…”

Section: Preliminaries and Notationmentioning

confidence: 99%

Sp6(2a)is “Good” for the McKay, Alperin weight, and related local–global conjectures

Fry

2014

Journal of Algebra

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The so-called "local-global" conjectures in the representation theory of finite groups relate the representation theory of G to that of certain proper subgroups, such as the normalizers of particular p-groups. Recent results by several authors reduce some of these conjectures to showing that a certain collection of stronger conditions holds for all finite simple groups. Here, we show that G = Sp 6 (2 a ) is "good" for these reductions for the McKay conjecture, the Alperin weight conjecture, and their blockwise versions.

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Cross-characteristic representations of and their restrictions to proper subgroups

Cited by 5 publications

References 42 publications

Restricting unipotent characters in special orthogonal groups

Restricting unipotent characters in special orthogonal groups

Some remarks on maximal subgroups of finite classical groups

Sp6(2a)is “Good” for the McKay, Alperin weight, and related local–global conjectures

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