A note on vertices of indecomposable tensor products-Reference-Cited by-同舟云学术

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A note on vertices of indecomposable tensor products

Published:2020-05-01 Issue:3 Volume:23 Page:385-391
ISSN:1435-4446
Container-title:Journal of Group Theory
language:
Short-container-title:

Author:

Linckelmann Markus¹

Affiliation:

1. Department of Mathematics, City, University of London, LondonEC1V 0HB, United Kingdom

Abstract

AbstractG. Navarro raised the question of when two vertices of two indecomposable modules over a finite group algebra generate a Sylow p-subgroup. The present note provides a sufficient criterion for this to happen. This generalises a result by Navarro for simple modules over finite p-solvable groups, which is the main motivation for this note.

Publisher

Walter de Gruyter GmbH

Subject

Algebra and Number Theory

Link

https://www.degruyter.com/downloadpdf/journals/jgth/23/3/article-p385.xml

Reference32 articles.

1. Vertices of simple modules of symmetric groups labelled by hook partitions;J. Group Theory,2015

2. Irreducible tensor products for symmetric groups in characteristic 2;Proc. Lond. Math. Soc. (3),2018

3. Blocks and simple modules with cyclic vertices;Bull. Lond. Math. Soc.,1977

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1. Normal subgroups and support $\tau$-tilting modules;Journal of the Mathematical Society of Japan;2024-04-30

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