Groups where all the irreducible characters are super - monomial
نویسنده
چکیده
Isaacs has defined a character to be super monomial if every primitive character inducing it is linear. Isaacs has conjectured that if G is an M -group with odd order, then every irreducible character is super monomial. We prove that the conjecture is true if G is an M -group of odd order where every irreducible character is a {p}-lift for some prime p. We say that a group where irreducible character is super monomial is a super M -group. We use our results to find an example of a super M -group that has a subgroup that is not a super M -group. MSC primary : 20C15
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