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On Block Idempotents of Modular Group Rings

Published online by Cambridge University Press:  22 January 2016

Masaru Osima*
Affiliation:
Osaka University
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We consider a group G of finite order g = pag′ where p is a prime number and (p, g′) = 1. Let Ω be the algebraic number field which contains the p-th roots of unity. Let K1, K2,…, Kn be the classes of conjugate elements in G and the first m(≦n) classes be p-regular. There exist n distinct (absolutely) irreducible characters x1, x2,…, xn of G.

Type
Research Article
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1966

References

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