@article{9e99b14f1f8942e98a516fc7f07d8178,
title = "Induced modules of support τ-tilting modules and extending modules of semibricks over blocks of finite groups",
abstract = "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.",
keywords = "Blocks of finite groups, Semibricks, Support τ-tilting modules, Two-term simple-minded collections, Two-term tilting complexes",
author = "Ryotaro Koshio and Yuta Kozakai",
note = "Funding Information: The authors are grateful to Naoko Kunugi for giving valuable comments. The first author would like to thank Yuta Katayama for useful advice about the group cohomology of the dihedral groups. Moreover, the authors are grateful to the anonymous referees for beneficial recommendations. Publisher Copyright: {\textcopyright} 2023 Elsevier Inc.",
year = "2023",
month = aug,
day = "15",
doi = "10.1016/j.jalgebra.2023.02.032",
language = "English",
volume = "628",
pages = "524--544",
journal = "Journal of Algebra",
issn = "0021-8693",
publisher = "Academic Press Inc.",
}