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The Primitive Idempotents of a Cyclic Group Algebra

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Southeast Asian Bulletin of Mathematics

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.

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Authors and Affiliations

  1. Department of Mathematics, Maharshi Dayanand University, Rohtak, 124001, India

    S. K. Arora

  2. Department of Mathematics, T.I.T. & S., Birla Colony, Bhiwani, 127021, India

    Sudhir Batra

  3. Department of Mathematics, University of Glasgow, Glasgow G12 8QW, Scotland

    Stephen D. Cohen

  4. Department of Mathematics, M.D.U. P.G. Regional Centre, Rewari, 12340, India

    Manju Pruthi

Authors
  1. S. K. Arora
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  2. Sudhir Batra
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  3. Stephen D. Cohen
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  4. Manju Pruthi
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Additional information

AMS Mathematical Subject Classification (2000): 20C05, 94B05, 12E20, 16S34.

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Arora, S.K., Batra, S., Cohen, S.D. et al. The Primitive Idempotents of a Cyclic Group Algebra. SEA bull. math. 26, 549–557 (2003). https://doi.org/10.1007/s100120200058

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  • DOI: https://doi.org/10.1007/s100120200058

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