Groups of units of modular group algebras
نویسندگان
چکیده
منابع مشابه
Symmetric Units in Modular Group Algebras
Let p be a prime, G a locally finite p -group, K a commutative ring of characteristic p . The anti-automorphism g 7→ g of G extends linearly to an anti-automorphism a 7→ a∗ of KG . An element a of KG is called symmetric if a∗ = a . In this paper we answer the question: for which G and K do the symmetric units of KG form a multiplicative group. Let G be a group, K a commutative ring (with 1), an...
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15 صفحه اولPresentations for Unit Groups of Modular Group Algebras of Groups of Order 16
For a p-group G and the field F of p elements, let V denote the group of normalized units of the group algebra F G . Generators and relations are provided for V for each group G of order dividing 16. The presentations are sufficiently concise to permit transcription for machine calculation with V . Some applications are described. A theoretical method for obtaining presentations for V is develo...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1987
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1987-0911020-6