English

An algorithm for computing Schur indices of characters

Group Theory 2019-05-24 v1 Representation Theory

Abstract

We describe an algorithm for computing Schur indices of irreducible characters of a finite group GG, based on computations within GG and its subgroups and with their character tables. The algorithm has been implemented within \Magma\ and examples of its use are given. We also compare the output of the algorithm on groups associated with sporadic simple groups with the results of W. Feit. The differences are considered.

Keywords

Cite

@article{arxiv.1712.00907,
  title  = {An algorithm for computing Schur indices of characters},
  author = {William R. Unger},
  journal= {arXiv preprint arXiv:1712.00907},
  year   = {2019}
}

Comments

18 pages

R2 v1 2026-06-22T23:05:18.065Z