Abstract
For a block $b$ of a normal subgroup of a finite group $G$, E.C. Dade has defined a subgroup $G[b]$ of $G$. We give a character-theoretical interpretation of his result on $G[b]$. In the course of proofs we determine a defect group of a block of $G[b]$ covering $b$. We also consider character-theoretical characterizations of isomorphic blocks with respect to normal subgroups.
Citation
Masafumi Murai. "On blocks of normal subgroups of finite groups." Osaka J. Math. 50 (4) 1007 - 1020, December 2013.
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