Open Access
December 2020 Lifting Brauer-friendly modules
Nobukatsu Watanabe
Author Affiliations +
SUT J. Math. 56(2): 171-177 (December 2020). DOI: 10.55937/sut/1610061557


Let O be a complete discrete valuation ring with a residue field k=O/J(O) of characteristic p, G a finite group, and b a block of kG with lift b^. In this paper, we show that any indecomposable Brauer-friendly kGb-module satisfying certain condition is liftable to an indecomposable Brauer-friendly OGb^-module.


The author would like to thank Naoko Kunugi for her careful reading and useful comments in an earlier version of the paper. The author also would like to thank the referee for her or his useful comments.


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Nobukatsu Watanabe. "Lifting Brauer-friendly modules." SUT J. Math. 56 (2) 171 - 177, December 2020.


Received: 22 July 2020; Published: December 2020
First available in Project Euclid: 8 June 2022

Digital Object Identifier: 10.55937/sut/1610061557

Primary: 20C20

Keywords: Brauer-friendly module , liftability

Rights: Copyright © 2020 Tokyo University of Science

Vol.56 • No. 2 • December 2020
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