TL;DR
This paper generalizes existing work on extensions of nilpotent blocks to the broader context of inertial blocks under suitable assumptions.
Contribution
It extends the theory of block extensions from nilpotent to inertial blocks, broadening the applicability of previous results.
Findings
Generalization of block extension theory to inertial blocks
Under suitable assumptions, the results hold for inertial blocks
Provides a framework for future research in block theory
Abstract
In this paper, with suitable assumptions, we generalize the work of K\"ulshammer and Puig on extensions of nilpotent blocks to inertial blocks.
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