대한수학회보 (Bulletin of the Korean Mathematical Society)
- Volume 40 Issue 2
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- Pages.177-182
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- 2003
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- 1015-8634(pISSN)
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- 2234-3016(eISSN)
DOI QR Code
FINITE METACYCLIC GROUPS WITH FAITHFUL IRREDUCIBLE REPRESENTATIONS
- Sim, Hyo-Seob (Division of Mathematical Sciences, Pukyong National University)
- 발행 : 2003.05.01
초록
A metacyclic group is a group that has a cyclic normal subgroup with cyclic quotient. We characterize finite metacyclic groups that have faithful irreducible representations over a given field.
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참고문헌
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- Finite Groups Ⅱ B.Huppert;N.Blackburn
- Math. Nachr. v.1 Uber treue irreduzible Darstellungen endlicher Gruppen R.Kochendorffer https://doi.org/10.1002/mana.19480010103
- Amer. J. Math. v.61 Condition that a finite group be multiply isomorphic with each of its irreducible representations L.Weisner https://doi.org/10.2307/2371325