Descent of splendid Rickard equivalences in alternating groups
Representation Theory
2022-11-29 v2 Group Theory
Abstract
We show that each block of an alternating group over an arbitrary complete discrete valuation ring is splendidly Rickard equivalent to its Brauer correspondent. This provides new evidence for a refined version of Brou\'{e}'s abelian defect group conjecture proposed by Kessar and Linckelmann.
Keywords
Cite
@article{arxiv.2111.10922,
title = {Descent of splendid Rickard equivalences in alternating groups},
author = {Xin Huang},
journal= {arXiv preprint arXiv:2111.10922},
year = {2022}
}
Comments
Improved version