Degrees, kernels and quasikernels of monolithic characters
Proc. Amer. Math. Soc. 128 (2000), 3211-3219
May 11, 2000
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Abstract: Theorem 5 yields the condition sufficient for a group to be a direct product of a -group and an abelian -group. We also obtain characterizations of nilpotent groups, prime power groups, -nilpotent and -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.
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Department of Mathematics, University of Haifa, Mount Carmel, Haifa 31905, Israel
$\pi$-closed and $\pi$-nilpotent groups,
kernel and quasikernel,
classification of finite simple groups
Received by editor(s):
January 21, 1999
May 11, 2000
The author was supported in part by the Ministry of Absorption of Israel.
Ronald M. Solomon
© Copyright 2000 American Mathematical Society