The Brauer indecomposability of Scott modules with vertex $Q_{2^n}\times C_{2^m}$

Year 2021, Volume: 50 Issue: 5, 1292 - 1305, 15.10.2021

İpek Tuvay

https://doi.org/10.15672/hujms.815694

Abstract

We prove that the Scott module whose vertex is isomorphic to a direct product of a generalized quaternion $2$-group and a cyclic $2$-group is Brauer indecomposable. This result generalizes similar results which are obtained for abelian, dihedral, generalized quaternion, semidihedral and wreathed $2$-group vertices.

Keywords

brauer indecomposability, Scott module, generalized quaternion group

Project Number

2019-28

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