The Primitive Idempotents of a Cyclic Group Algebra |
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Authors: | S K Arora Sudhir Batra Stephen D Cohen Manju Pruthi |
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Institution: | (1) Department of Mathematics, Maharshi Dayanand University, Rohtak, 124001, India;(2) Department of Mathematics, T.I.T. & S., Birla Colony, Bhiwani, 127021, India;(3) Department of Mathematics, University of Glasgow, Glasgow G12 8QW, Scotland;(4) Department of Mathematics, M.D.U. P.G. Regional Centre, Rewari, 12340, India |
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Abstract: | Explicit expressions are obtained for the 2n + 1 primitive idempotents in FG, the semisimple group algebra of the cyclic group G of order pn (p an odd prime, n ≥ 1) over the finite field F of prime power order q, when q has order φ(pn)/2 modulo pn.AMS Mathematical Subject Classification (2000): 20C05, 94B05, 12E20, 16S34. |
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Keywords: | Group algebra primitive idempotents cyclotomic cosets |
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