6533b821fe1ef96bd127b619

RESEARCH PRODUCT

Central Units, Class Sums and Characters of the Symmetric Group

Guilherme LealAntonio Giambruno

subject

CombinatoricsDiscrete mathematicsSymmetric algebraAlgebra and Number TheoryCharacter tableSymmetric groupQuaternion groupAlternating groupGroup algebraPermutation groupGroup ringMathematics

description

In the search for central units of a group algebra, we look at the class sums of the group algebra of the symmetric group S n in characteristic zero, and we show that they are units in very special instances.

https://doi.org/10.1080/00927870903095608