Journal of the Ramanujan Mathematical Society

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The Structure of Finite Semisimple Metacyclic Group Algebras


Affiliations
1 Centre for Advanced Study in Mathematics, Panjab University, Chandigarh 160014, India
2 Indian Institute of Science Education and Research, Sector 81, Mohali 140306, India
     

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In this paper, a complete set of primitive central idempotents and the Wedderburn decomposition of the semisimple group algebra of an arbitrary metacyclic group over a finite field are computed.
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  • The Structure of Finite Semisimple Metacyclic Group Algebras

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Authors

Gurmeet K. Bakshi
Centre for Advanced Study in Mathematics, Panjab University, Chandigarh 160014, India
Shalini Gupta
Indian Institute of Science Education and Research, Sector 81, Mohali 140306, India
Inder Bir S. Passi
Indian Institute of Science Education and Research, Sector 81, Mohali 140306, India

Abstract


In this paper, a complete set of primitive central idempotents and the Wedderburn decomposition of the semisimple group algebra of an arbitrary metacyclic group over a finite field are computed.