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Proves a topological group with certain indecomposable representations is a finite extension, indicating new structural insights into group theory.
We prove that a topological group whose family of continuous indecomposable representations in finite-dimensional spaces separates the elements of the group and whose continuous indecomposable representations are of bounded degree is a finite extension of a commutative group having sufficiently many continuous characters.
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A.I. Shtern (2026) studied this question.
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