A note on the Grothendieck ring of the symmetric group
  Let $p$ be a prime number and let $n$ be a non-zero natural number. We compute the descending Loewy series of the algebra $R\_n/pR\_n$, where $R\_n$ denotes the ring of virtual ordinary characters of the symmetric group $S\_n$. 
C\'edric Bonnaf\'e (LM-Besan\c{c}on)