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Primitive group algebras of polycyclic groups

โœ Scribed by O. I. Domanov

Book ID
112450584
Publisher
SP MAIK Nauka/Interperiodica
Year
1978
Tongue
English
Weight
556 KB
Volume
19
Category
Article
ISSN
0037-4466

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Let G be a polycyclic-by-finite group such that โŒฌ G is torsion-free abelian and K a field. Denote by S a multiplicatively closed set of non-zero central elements of w x K G ; if K is an absolute field assume that S contains an element not in K. Our w x main result is when the localization K G is a p

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A coherent algebra is F-primitive if each of its non-identity basis matrices is primitive in the sense of Frobenius. We investigate the relationship between the primitivity of a permutation group, the primitivity of its centralizer algebra, and F-primitivity. The results obtained are applied to give