#####
Séminaire Lotharingien de Combinatoire, B52c (2004), 8 pp.

# Christine Bessenrodt and Jørn B. Olsson

# On Character Tables Related to the Alternating Groups

**Abstract.**
There is a simple formula for the absolute value of the determinant of
the character table of the symmetric group *S*_{n}.
It equals *a*_{P}, the product of all parts
of all partitions of *n* (see [4, Corollary 6.5]).
In this paper we calculate the absolute values of
the determinants of certain submatrices of the character table
*X* of the alternating group *A*_{n}, including that of
*X* itself (Section 2). We also study explicitly the
powers of 2 occurring in these determinants using generating
functions (Section 3).

Received: May 7, 2004.
Accepted: October 1, 2004.

The following versions are available: