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This addendum aims to refine the previously established bounds on the sizes of defect groups in blocks of solvable groups.

Addendum to “on the number of conjugacy classes of zeros of characters and the length of solvable groups”

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This addendum aims to refine the previously established bounds on the sizes of defect groups in blocks of solvable groups.
Improved mathematical analysis of character theory and defect groups.
Reevaluation of existing criteria for determining conjugacy classes in solvable groups.
New bounds demonstrate a more precise mapping of defect group sizes within solvable groups.

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Addendum examines updated bounds for defect group sizes in solvable groups, suggesting stronger classifications.

We improve previous bounds for the sizes of defect groups of blocks of solvable groups.

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A 2026 study studied this question.

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Addendum examines updated bounds for defect group sizes in solvable groups, suggesting stronger classifications.

We improve previous bounds for the sizes of defect groups of blocks of solvable groups.