Study shows a hierarchy of automorphism groups, suggesting a method for stratifying their irreducible representations.
We introduce a strategy to study irreducible representations of automorphism groups of finite modules over finite rings. We prove that these automorphism groups fit in a hierarchy that facilitates a stratification of their irreducible representations in terms of smaller building blocks using symmetric monoidal categories and invariant theory.
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Crisp et al. (2025) studied this question.
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