Degree Homogeneous Subgroups

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چکیده

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Degree homogeneous subgroups

Let G be a finite group and H be a subgroup. We say that H is degree homogeneous if, for each χ ∈ Irr(G), all the irreducible constituents of the restriction χH have the same degrees. Subgroups which are either normal or abelian are obvious examples of degree homogeneous subgroups. Following a question of E.M. Zhmud’, we investigate general properties of such subgroups. It appears unlikely that...

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ژورنال

عنوان ژورنال: Canadian Mathematical Bulletin

سال: 2005

ISSN: 0008-4395,1496-4287

DOI: 10.4153/cmb-2005-004-2