A sufficient criterion is stated for vertices of indecomposable modules to generate a Sylow p-subgroup, generalizing Navarro's result for simple modules over p-solvable groups.
Linckelmann, The block theory of finite group alegbras I , Cambridge University Press, London Math
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A note on vertices of indecomposable tensor products
A sufficient criterion is stated for vertices of indecomposable modules to generate a Sylow p-subgroup, generalizing Navarro's result for simple modules over p-solvable groups.