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Nilpotent and perfect groups with the same set of character degrees. - MaRDI portal

Nilpotent and perfect groups with the same set of character degrees. (Q2878796)

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scientific article; zbMATH DE number 6340452
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English
Nilpotent and perfect groups with the same set of character degrees.
scientific article; zbMATH DE number 6340452

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    5 September 2014
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    finite groups
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    sets of character degrees
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    solvability
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    perfect groups
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    nilpotent groups
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    Nilpotent and perfect groups with the same set of character degrees. (English)
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    Recently the first author found a pair of finite groups, one solvable and the other perfect, with the same set of character degrees. In this paper the authors show that there even exist a nilpotent and a perfect group with the same set of character degrees. The proofs use GAP.
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