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Irreducible characters
and solvability of finite groups
Frank Rimi DeMeyer |
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Vol. 41 (1972), No. 2, 347–353
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Abstract |
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The relationship between the degree of an irreducible character ζ on a finite group G induced from a nilpotent normal subgroup and the structure of the group G are studied when the degree of ζ is large. In particular if the square of the degree of ζ is the index of the center of G in G then G is solvable. |
Mathematical Subject Classification 2000
Primary: 20C15
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Milestones
Received: 19 March 1971
Revised: 13 November 1971
Published: 1 May 1972
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Authors |
| Frank Rimi DeMeyer | |
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