Blocks with quaternion defect group over a 2-adic ring: the case \tilde{A}_4

Simple item page
dc.creatorHolm, Thorsten
dc.creatorKessar, Radha
dc.creatorLinckelmann, Markus
dc.date2005-12-06
dc.date.accessioned2026-07-07T06:54:54Z
dc.date.available2026-07-07T06:54:54Z
dc.descriptionExcept 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 $k\tilde A_4$. The main ingredients are Erdmann's classification of tame blocks and work of Cabanes and Picaronny on perfect isometries between tame blocks.
dc.description18 pages
dc.identifierhttps://arxiv.org/abs/math/0512125
dc.identifierhttp://arxiv.org/abs/math/0512125
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/106109
dc.subjectRepresentation Theory
dc.subjectGroup Theory
dc.subject20C05; 20C11;16G60
dc.titleBlocks with quaternion defect group over a 2-adic ring: the case \tilde{A}_4
dc.typetext

Files

Collections

arXiv