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

Authors : İpek TUVAY

Pages : 1292-1305

Doi:10.15672/hujms.815694

View : 14 | Download : 6

Publication Date : 2021-10-15

Article Type : Research Paper

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