Extending Brauer's Height Zero Conjecture to Blocks with Nonabelian Defect Groups

Charles Eaton; Alexander Moreto

doi:10.1093/imrn/rnt131

Extending Brauer's Height Zero Conjecture to Blocks with Nonabelian Defect Groups

Research output: Contribution to journal › Article › peer-review

Abstract

We propose a generalization of Brauer’s Height Zero Conjecture that considers positive heights. We give strong evidence supporting one half of the generalization and obtain some partial results regarding the other half.

Original language	English
Pages (from-to)	5581-5601
Number of pages	20
Journal	International Mathematics Research Notices
Volume	2014
Issue number	20
Early online date	3 Jul 2013
DOIs	https://doi.org/10.1093/imrn/rnt131
Publication status	Published - 2014

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title = "Extending Brauer's Height Zero Conjecture to Blocks with Nonabelian Defect Groups",

abstract = "We propose a generalization of Brauer{\textquoteright}s Height Zero Conjecture that considers positive heights. We give strong evidence supporting one half of the generalization and obtain some partial results regarding the other half.",

author = "Charles Eaton and Alexander Moreto",

year = "2014",

doi = "10.1093/imrn/rnt131",

language = "English",

volume = "2014",

pages = "5581--5601",

journal = "International Mathematics Research Notices",

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AU - Eaton, Charles

AU - Moreto, Alexander

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DO - 10.1093/imrn/rnt131

M3 - Article

SN - 1073-7928

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SP - 5581

EP - 5601

JO - International Mathematics Research Notices

JF - International Mathematics Research Notices

IS - 20

ER -

Extending Brauer's Height Zero Conjecture to Blocks with Nonabelian Defect Groups

Abstract

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