Degrees, kernels and quasikernels of monolithic characters

Berkovich, Yakov

doi:10.1090/S0002-9939-00-05550-7

Degrees, kernels and quasikernels of monolithic characters
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by Yakov Berkovich PDF

Proc. Amer. Math. Soc. 128 (2000), 3211-3219 Request permission

Abstract:

Theorem 5 yields the condition sufficient for a group to be a direct product of a $\pi$-group and an abelian $\pi ’$-group. We also obtain characterizations of nilpotent groups, prime power groups, $p$-nilpotent and $p$-closed groups in the language of characters. Proofs of some results depend on the classification of finite simple groups. Some problems are posed and discussed.

References

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