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Abstract Let H be a finitely generated group of matrices over a field F of characteristic zero. We consider the group ring KH of H over an arbitrary field K… Click to show full abstract
Abstract Let H be a finitely generated group of matrices over a field F of characteristic zero. We consider the group ring KH of H over an arbitrary field K whose characteristic is either zero or greater than some number N = N ( H ) . We prove that KH is isomorphic to a subring of a ring S which is a crossed product of a division ring Δ with a finite group. Hence KH is isomorphic to a subring of a matrix ring over a skew field.
Keywords:
linear groups;
field;
group;
rings linear;
group rings
Journal Title: Journal of Pure and Applied Algebra
Year Published: 2017
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Journal Title: Journal of Pure and Applied Algebra
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!