Blocks with a quaternion defect group over a 2-adic ring: The case Ã4

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  • University of Aberdeen
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Original languageEnglish
Pages (from-to)29-43
Number of pages15
JournalGlasgow mathematical journal
Volume49
Issue number1
Publication statusPublished - Jan 2007
Externally publishedYes

Abstract

Except for blocks with a cyclic or Klein four defect group, it is not known in general whether the Morita equivalence class of a block algebra over a field of prime characteristic determines that of the corresponding block algebra over a padic ring. We prove this to be the case when the defect group is quaternion of order 8 and the block algebra over an algebraically closed field k of characteristic 2 is Morita equivalent to kÃ4. The main ingredients are Erdmann's classification of tame blocks [6] and work of Cabanes and Picaronny [4, 5] on perfect isometrics between tame blocks.

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Blocks with a quaternion defect group over a 2-adic ring: The case Ã4. / Holm, Thorsten; Kessar, Radha; Linckelmann, Markus.
In: Glasgow mathematical journal, Vol. 49, No. 1, 01.2007, p. 29-43.

Research output: Contribution to journalArticleResearchpeer review

Holm T, Kessar R, Linckelmann M. Blocks with a quaternion defect group over a 2-adic ring: The case Ã4. Glasgow mathematical journal. 2007 Jan;49(1):29-43. doi: 10.1017/S0017089507003394
Holm, Thorsten ; Kessar, Radha ; Linckelmann, Markus. / Blocks with a quaternion defect group over a 2-adic ring : The case Ã4. In: Glasgow mathematical journal. 2007 ; Vol. 49, No. 1. pp. 29-43.
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