City Research Online - Blocks of minimal dimension

Blocks of minimal dimension

Linckelmann, M. (2007). Blocks of minimal dimension. Archiv der Mathematik, 89(4), pp. 311-314.

Abstract

Any block with defect group P of a finite group G with Sylow-p-subgroup S has dimension at least |S|2/|P|; we show that a block which attains this bound is nilpotent, answering a question of G. R. Robinson.

Publication Type:	Article
Subjects:	Q Science > QA Mathematics
Departments:	School of Science & Technology > Mathematics

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Creators:	Linckelmann, M.
Status:	Published
Refereed:	Yes
Journal or Publication Title:	Archiv der Mathematik
ISSN:	0003-889X
URI:	https://openaccess.city.ac.uk/id/eprint/1890
Date available in CRO:	23 Nov 2012 09:41
Dates:	Date Event 2007 Published