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
Download (192kB)

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; 
Academic Unit:  Faculty of Science and Engineering > Mathematics and 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: 
Repository Staff Only(login required)
Item control page 
Downloads
Downloads per month over past year