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Journal of Algebra
Article
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Journal of Algebra
Article . 1964
License: Elsevier Non-Commercial
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Mathematische Zeitschrift
Article . 1959 . Peer-reviewed
License: Springer TDM
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Journal of Algebra
Article . 1964 . Peer-reviewed
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Article . 1964
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zbMATH Open
Article . 1960
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Normalp-complements for finite groups

Normal \(p\)-complements for finite groups
Authors: Thompson, John G.;

Normalp-complements for finite groups

Abstract

The minimal number of generators of the group Q is denoted m(s). We define d(B) = max m(s) where ‘21 ranges over all the abelian subgroups of EJ and we let J(cli) be the subgroup generated by all the abelian subgroups ‘u of (5 which satisfy d(B) = m(a). Clearly, if J(S) c R c Q, then J(B) is a characteristic subgroup of R, J(B) char Ji. Z(G) denotes the center of 8 and / 0, jr, is the order of a SD-subgroup of Q.

Country
Germany
Related Organizations
Keywords

510.mathematics, Algebra and Number Theory, Abstract finite groups, group theory, normal \(p\)-complements, Article, finite groups

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
111
Top 10%
Top 1%
Top 10%
Green
hybrid