• Title/Summary/Keyword: monomial group

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MONOMIAL CHARACTERS OVER FINITE GROUPS

  • Park, Eunmi
    • Communications of the Korean Mathematical Society
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    • v.18 no.2
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    • pp.215-223
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    • 2003
  • Parks [7] showed that there is an one to one correspondence between good pairs of subgroups in G and irreducible monomial characters of G. This provides a useful criterion for a group to be monomial. In this paper, we study relative monomial groups by defining triples in G, and find relationships between the triples and irreducible relative monomial characters.

RELATIVE PROJECTIVE MONOMIAL GROUPS

  • Choi, Eun-Mi
    • Communications of the Korean Mathematical Society
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    • v.15 no.3
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    • pp.481-492
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    • 2000
  • As an application of Clifford theory, we are interested in a situation in which every irreducible projective character of a finite group G is an induced character of an irreducible linear character of some subgroup H of G. For this purpose, we study relative projective monomial groups with respect to subgroups.

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A STUDY ON NILPOTENT LIE GROUPS

  • Nam, Jeong-Koo
    • Korean Journal of Mathematics
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    • v.6 no.2
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    • pp.137-148
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    • 1998
  • We briefly discuss the Lie groups, it's nilpotency and representations of a nilpotent Lie groups. Dixmier and Kirillov proved that simply connected nilpotent Lie groups over $\mathbb{R}$ are monomial. We reformulate the above result at the Lie algebra level.

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