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

Thorsten Holm, Radha Kessar, Markus Linckelmann

Research output: Contribution to journalArticle

2 Citations (Scopus)

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 p-adic 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 kÃ44. The main ingredients are Erdmann's classification of tame blocks [6] and work of Cabanes and Picaronny [4, 5] on perfect isometries between tame blocks.

Original languageEnglish
Pages (from-to)29-43
Number of pages15
JournalGlasgow Mathematical Journal
Volume49
Issue number1
DOIs
Publication statusPublished - 1 Jan 2007

Cite this

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, 01.01.2007, p. 29-43.

Research output: Contribution to journalArticle

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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