대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제15권3호
  • /
  • Pages.481-492
  • /
  • 2000
  • /
  • 1225-1763(pISSN)
  • /
  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
권호 표지

RELATIVE PROJECTIVE MONOMIAL GROUPS

  • 발행 : 2000.09.01
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초록

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.

키워드

참고문헌

  1. Chinese J. Math. v.21 no.1 On relative M-groups K. W. Chen
  2. Arch. Math. v.42 Characters of subnormal subgroups of M-groups I. M. Isaacs
  3. Character Theory of finite groups I. M. Isaacs
  4. J. Algebra v.178 Constituents of restricted and induced characters in odd order groups I. M. Isaacs
  5. Group representations v.3 G. Karpilovsky
  6. Math. Z. v.218 Primitive characters of subgroups of M-groups G. Navarro
  7. J. London Math. Soc. v.2 no.10 Degrees of irreducible projective representation of finite groups H. N. Ng
  8. J. Algebra v.45 Induced characters and sympletic actions D. T. Price