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A remark on the C-normality of maximal subgroups of finite groups
Published online by Cambridge University Press: 20 January 2009
Abstract
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A subgroup H is called c-normal in a group G if there exists a normal subgroup N of G such that HN = G and H∩N ≤ HG, where HG =: Core(H) = ∩g∈GHg is the maximal normal subgroup of G which is contained in H. We use a result on primitive groups and the c-normality of maximal subgroups of a finite group G to obtain results about the influence of the set of maximal subgroups on the structure of G.
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- Copyright © Edinburgh Mathematical Society 1997
References
REFERENCES
1. Aschbacher, M. and Scott, L., Maximal subgroups of finite groups, J. Algebra 92 (1985), 44–80.CrossRefGoogle Scholar
2. Forster, P., A note on primitive groups with small maximal subgroups, Pub. Mat. Univ. Aut. Bacelana 28 (1984), 19–28.CrossRefGoogle Scholar
3. Lafuente, J., Eine Note über nichtabelsche Hauptfaktoren und maximale Untergruppen einer endlichen Gruppe, Comm. Algebra 13 (9) (1985), 2025–2036.CrossRefGoogle Scholar
4. Wang, Y., A class of Frattini-like subgroups of a finite group, J. Pure Appl. Algebra 78 (1992), 101–108.CrossRefGoogle Scholar
6. Weinstein, M. et al. , Between Nilpotent and Solvable (Polygonal Publishing House, New Jersey, 1982).Google Scholar
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