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ABSTRACT Let ????(FG) denotes the unit group of FG. In this article, we compute theorder of in terms of the order of ????(FG) for an arbitrary finite group G, where… Click to show full abstract
ABSTRACT Let ????(FG) denotes the unit group of FG. In this article, we compute theorder of in terms of the order of ????(FG) for an arbitrary finite group G, where is the cyclic group of order 2n and F is a finite field of characteristic 2. Further, if A is an elementary abelian 2-group, then we obtain structures of ????(F(G×A)) and its unitary subgroup ????∗(F(G×A)), where ∗ is the canonical involution of the group algebra F(G×A). Finally, we provide a set of generators of and ????(FD4m).
Keywords:
modular group;
units modular;
group algebra;
group;
algebra units
Journal Title: Communications in Algebra
Year Published: 2017
Link to full text (if available)
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Journal Title: Communications in Algebra
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!