Access the full text.
Sign up today, get DeepDyve free for 14 days.
D. Robinson (1982)
A Course in the Theory of Groups
(1990)
Isométries parfaites entre blocs de groupes symétriques
B. Külshammer (1991)
Group-theoretical descriptions of ring-theoretical invariants of group algebras
J. Olsson (1980)
Lower defect groupsCommunications in Algebra, 8
J. Olsson (1986)
Lower defect groups in symmetric groupsJournal of Algebra, 104
G. Murphy (1983)
The idempotents of the symmetric group and Nakayama's conjectureJournal of Algebra, 81
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 p‐regular 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 p‐exponent of S(n). Then jpt=0, for each element j of the Jacobson radical J of Z. It is shown that there exists j ∈ J such that jpt−1≠0. Most of the results are formulated in terms of the p‐blocks of S(n).
Bulletin of the London Mathematical Society – Wiley
Published: Mar 1, 2002
Read and print from thousands of top scholarly journals.
Already have an account? Log in
Bookmark this article. You can see your Bookmarks on your DeepDyve Library.
To save an article, log in first, or sign up for a DeepDyve account if you don’t already have one.
Copy and paste the desired citation format or use the link below to download a file formatted for EndNote
Access the full text.
Sign up today, get DeepDyve free for 14 days.
All DeepDyve websites use cookies to improve your online experience. They were placed on your computer when you launched this website. You can change your cookie settings through your browser.