[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/BKMS.2003.40.2.177

FINITE METACYCLIC GROUPS WITH FAITHFUL IRREDUCIBLE REPRESENTATIONS

Sim, Hyo-Seob (Division of Mathematical Sciences, Pukyong National University)

Publication Information

Bulletin of the Korean Mathematical Society / v.40, no.2, 2003 , pp. 177-182 More about this Journal

Abstract

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.

Keywords

faithful irreducible representations; metacyclic groups;

Citations & Related Records

Reference

1	/ [ B.Huppert;N.Blackburn ] / Finite Groups Ⅱ
2	/ [ W.Burnside ] / Theory of Groups of Finite Order
3	/ [ K.Doerk;T.Hawkes ] / Finite Soluble Groups
4	Uber treue irreduzible Darstellungen endlicher Gruppen / [ R.Kochendorffer ] / Math. Nachr. DOI
5	Condition that a finite group be multiply isomorphic with each of its irreducible representations / [ L.Weisner ] / Amer. J. Math. DOI ScienceOn
6	Endliche Gruppen mit treuen absolut-irreduziblen Darstellungen / [ W.Gaschutz ] / Math. Nachr. DOI