Abstract: We study the unit group of the modular group algebra $KG$, where $G$ is a 2-group of maximal class. We prove that the unit group of $KG$ possesses a section isomorphic to the wreath product of a group of order two with the commutator subgroup of the group $G$.
Keywords: Group algebras, unit groups, nilpotency class, wreath products, 2-groups of maximal class.
Classification (MSC2000): 16S34
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