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math.RT2006
Labelling the character tables of symmetric and alternating groups
Mark Wildon
Let be a character table of the symmetric group . It is shown that unless or , there is a unique way to assign partitions of to the rows and columns of $X…
math.RT2006
Character values and decomposition matrices of symmetric groups
Mark Wildon
By exploiting relationships between the values taken by ordinary characters of symmetric groups we prove two theorems in the modular representation theory of the symmetric group. 1…
math.CO2006
Counting Partitions on the Abacus
Mark Wildon
In 2003, Maroti showed that one could use the machinery of l-cores and l-quotients of partitions to establish lower bounds for p(n), the number of partitions of n. In this paper we…