On induced modules of inertial-invariant support τ-tilting modules over blocks of finite groups

Ryotaro Koshio

doi:10.55937/sut/1670501315

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Home > Journals > SUT J. Math. > Volume 58 > Issue 2 > Article

December 2022 On induced modules of inertial-invariant support

\tau

-tilting modules over blocks of finite groups

Ryotaro Koshio

Author Affiliations +

Ryotaro Koshio¹
¹Department of Mathematics, Tokyo University of Science Kagurazaka 1-3, Shinjuku, Tokyo 162-8601, Japan

SUT J. Math. 58(2): 157-171 (December 2022). DOI: 10.55937/sut/1670501315

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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.

Acknowledgements

The author would like to thank Yuta Kozakai for useful advice, discussions and comments.

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Ryotaro Koshio. "On induced modules of inertial-invariant support $\tau$ -tilting modules over blocks of finite groups." SUT J. Math. 58 (2) 157 - 171, December 2022. https://doi.org/10.55937/sut/1670501315