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On Groups Whose Irreducible Character Degrees of All Proper Subgroups are All Prime Powers

On Groups Whose Irreducible Character Degrees of All Proper Subgroups are All Prime Powers

Isaacs, Passman, and Manz have determined the structure of finite groups whose each degree of the irreducible characters is a prime power. In particular, if <math xmlns="http://www.w3.org/1998/Math/MathML" id="M1"> <mi>G</mi> </math> is a nonsolvable group and every character degree of a group <math xmlns="http://www.w3.org/1998/Math/MathML" id="M2"> <mi>G</mi> </math> is a prime power, …