Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Groups where all the irreducible characters are super-monomial   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.

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The categories of this paper are: cmp-lg
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The categories of this paper are: econ
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The categories of this paper are: stat
3
The categories of this paper are: physics
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The categories of this paper are: bayes-an
0
The categories of this paper are: hep-ph
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The categories of this paper are: funct-an
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The categories of this paper are: q-alg
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The categories of this paper are: astro-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: math-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: comp-gas
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The categories of this paper are: solv-int
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The categories of this paper are: acc-phys
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The categories of this paper are: quant-ph