The structure of blocks with a Klein four defect group

Radha Kessar; Markus Linckelmann; David Craven; Charles Eaton

doi:10.1007/s00209-010-0679-4

The structure of blocks with a Klein four defect group

Radha Kessar, Markus Linckelmann, David Craven, Charles Eaton

Mathematical Science

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

23 Citations (Scopus)

Abstract

We prove Erdmann’s conjecture (J Algebra 76:505–518, 1982) stating that every
block with a Klein four defect group has a simple module with trivial source, and deduce from this that Puig’s finiteness conjecture holds for source algebras of blocks with a Klein four defect group. The proof uses the classification of finite simple groups.

Original language	English
Pages (from-to)	441-476
Number of pages	36
Journal	Mathematische Zeitschrift
Volume	268
Issue number	1-2
Early online date	11 Feb 2010
DOIs	https://doi.org/10.1007/s00209-010-0679-4
Publication status	Published - Jun 2011

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AU - Craven, David

AU - Eaton, Charles

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AB - We prove Erdmann’s conjecture (J Algebra 76:505–518, 1982) stating that every block with a Klein four defect group has a simple module with trivial source, and deduce from this that Puig’s finiteness conjecture holds for source algebras of blocks with a Klein four defect group. The proof uses the classification of finite simple groups.

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DO - 10.1007/s00209-010-0679-4

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VL - 268

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EP - 476

JO - Mathematische Zeitschrift

JF - Mathematische Zeitschrift

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The structure of blocks with a Klein four defect group

Abstract

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