2021/12/16 by Ryotaro Koshio, Koshio, Ryotaro, Yuta Kozakai +1
Computer Science · Engineering · Mathematics · #16G10 #20C20 #Coding theory and cryptography #FOS: Mathematics #Finite Group Theory Research #Group Theory (math.GR) #Representation Theory (math.RT) #graph theory and CDMA systems
paper · pdf · doi:10.48550/arxiv.2112.08897
openalex publication_date 2021/12/16 · openalex created_date 2022/05/05 · openalex updated_date 2026/07/28
In this article we study support τ-tilting modules, semibricks and more over blocks of group algebras. Let k be an algebraically closed field of characteristic p>0, G a finite group and G a normal subgroup of G. Moreover, let B be a block of kG and B a block of kG covered by B. We show that, under certain conditions for the factor group G/G and B, induced modules and extending modules of support τ-tilting modules and semibricks over B are also the ones over B, respectively.