On Thompson's Theorem
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Lev Kazarin; Yakov Berkovich
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Article
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1999
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Elsevier Science
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English
β 138 KB
Let p be a prime divisor of the order of a finite group G. Thompson (1970, J. Algebra 14, 129-134) has proved the following remarkable result: a finite group G is p-nilpotent if the degrees of all its nonlinear irreducible characters are divisible by p (in fact, in that case G is solvable). In this