Theoretical analysis determines the normalized unit group of group algebra for generalized extraspecial 2-groups, indicating an affirmative resolution to Johnson's question.
Let [Formula: see text] be a finite field of characteristic [Formula: see text]. Let [Formula: see text] be a group algebra of a group [Formula: see text] over the field [Formula: see text], [Formula: see text] be the normalized unit group of [Formula: see text]. In this article, the normalized unit group [Formula: see text] of group algebra of a generalized extraspecial [Formula: see text]-group [Formula: see text] over the field [Formula: see text] is determined and an affirmative answer for the Johnson’s question whether [Formula: see text] is provided.
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Wang et al. (2026) studied this question.
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