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Abstract We study the Modular Isomorphism Problem applying a combination of existing and new techniques. We make use of the small group algebra to give a positive answer for two… Click to show full abstract
Abstract We study the Modular Isomorphism Problem applying a combination of existing and new techniques. We make use of the small group algebra to give a positive answer for two classes of groups of nilpotency class 3. We also introduce a new approach to derive properties of the lower central series of a finite ????-group from the structure of the associated modular group algebra. Finally, we study the class of so-called ????-obelisks which are highlighted by recent computer-aided investigations of the problem.
Keywords:
isomorphism problem;
class;
group;
modular isomorphism;
problem
Journal Title: Journal of Group Theory
Year Published: 2021
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Journal Title: Journal of Group Theory
Year Published: 2021
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!