Mathematical Proceedings of the Cambridge Philosophical Society

Table of Contents - 2002 - Volume 133, Issue 01  


On the blocks of [fraktur S] over a field of characteristic three

MATTHEW FAYERS a1 1
a1 Trinity College, Cambridge CB2 1TQ.

Abstract

In [16] and [17], Tan looks at the principal blocks of the symmetric groups [fraktur S]9, [fraktur S]10, [fraktur S]11, [fraktur S]12 over a field of characteristic three, and highlights the contrast with blocks of small abelian defect. Here we continue by determining the Ext-quivers of the blocks of [fraktur S]13 over the same field; this in particular provides examples of a [4:1]-pair and a [3:2]-pair with non-abelian defect.

(Received May 15 2000)
(Revised October 16 2000)


Footnotes

1 The author is financially supported by the EPSRC.