Geodesic
On Character Tables Related to the Alternating Groups
Séminaire lotharingien de combinatoire, Tome 52 (2004-2007)

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There is a simple formula for the absolute value of the determinant of the character table of the symmetric group Sn. It equals aP, 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 An, including that of X itself (Section 2). We also study explicitly the powers of 2 occurring in these determinants using generating functions (Section 3). 

@article{SLC_2004-2007_52_a2,
     author = {Christine Bessenrodt and J{\o}rn B. Olsson},
     title = {On {Character} {Tables} {Related} to the {Alternating} {Groups}},
     journal = {S\'eminaire lotharingien de combinatoire},
     publisher = {mathdoc},
     volume = {52},
     year = {2004-2007},
     url = {http://geodesic.mathdoc.fr/item/SLC_2004-2007_52_a2/}
}
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Christine Bessenrodt; Jørn B. Olsson. On Character Tables Related to the Alternating Groups. Séminaire lotharingien de combinatoire, Tome 52 (2004-2007). http://geodesic.mathdoc.fr/item/SLC_2004-2007_52_a2/