On induced modules of inertial-invariant support $\tau$-tilting modules over blocks of finite groups

Abstract

In this article, we prove that induced modules of support $\tau$-tilting modules over blocks of finite groups satisfying inertial-invariant condition are also support $\tau$-tilting modules.

11 pages, 4 figures. arXiv admin note: text overlap with arXiv:2112.08897