Murray, John
(2002)
Squares in the centre of the group algebra of a symmetric group.
Bulletin of the London Mathematical Society, 34.
pp. 155164.
ISSN 14692120
Abstract
Let Z be the centre of the group algebra of a symmetric group S(n) over a field F characteristic p. One of the principal results of this paper is that the image of the Frobenius map z → zp, for z ∈ Z, lies in span Zp′ of the pregular class sums. When p = 2, the image even coincides with Z2′. Furthermore, in all cases Zp′ forms a subalgebra of Z. Let pt be the pexponent of S(n). Then , for each element j of the Jacobson radical J of Z. It is shown that there exists j ∈ J such that . Most of the results are formulated in terms of the pblocks of S(n).
Item Type: 
Article

Keywords: 
Group algebra of a symmetric group; 
Subjects: 
Science & Engineering > Mathematics & Statistics 
Item ID: 
2155 
Depositing User: 
Dr. John Murray

Date Deposited: 
07 Oct 2010 11:52 
Journal or Publication Title: 
Bulletin of the London Mathematical Society 
Publisher: 
Oxford University Press, 
Refereed: 
Yes 
URI: 

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