PreprintCC BY-NC-ND 4.0arXiv
The solvable degree of a Schur algebra
Abstract
The solvable degree of a Schur algebra D is the greatest common divisor of all integers n such that Dn× n is a direct summand of the rational group algebra Q G for some finite solvable group G. The main result of this paper gives divisibility conditions on the solvable degree depending on the center and the rational primes that divide the discriminant of D.
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BibTeX
@misc{nebe2026solvable,
title = {{The solvable degree of a Schur algebra}},
author = {Gabriele Nebe and David Schlang},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.08490},
eprint = {2610.08490},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.08490},
note = {CC BY-NC-ND 4.0},
}
RIS
TY - UNPB
TI - The solvable degree of a Schur algebra
AU - Gabriele Nebe
AU - David Schlang
PY - 2026
DA - 2026/10/26
PB - arXiv
DO - 10.48550/arxiv.2610.08490
UR - https://arxiv.org/abs/2610.08490
AB - The solvable degree of a Schur algebra D is the greatest common divisor of all integers n such that D^n× n is a direct summand of the rational group algebra Q G for some finite solvable group G. The main result of this paper gives divisibility conditions on the solvable degree depending on the center and the rational primes that divide the discriminant of D.
ER -