Class sizes of prime-power orden p'-elements and normal subgroups
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comunitat-uji-handle2:10234/7037
comunitat-uji-handle3:10234/8635
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http://dx.doi.org/10.1007/s10231-014-0432-4 |
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Title
Class sizes of prime-power orden p'-elements and normal subgroupsDate
2014-06Publisher
SpringerBibliographic citation
BELTRÁN FELIP, A. Class sizes of prime-power orden p'-elements and normal subgroups. Annali di Matematica Pura ed Applicata (June 2014) (Epub ahead of print))Type
info:eu-repo/semantics/articlePublisher version
http://link.springer.com/article/10.1007/s10231-014-0432-4Version
info:eu-repo/semantics/publishedVersionSubject
Abstract
We prove an extension of the renowned Itô’s theorem on groups having two class sizes in three different directions at the same time: normal subgroups, p' -elements and prime- power order elements. Let N be a normal ... [+]
We prove an extension of the renowned Itô’s theorem on groups having two class sizes in three different directions at the same time: normal subgroups, p' -elements and prime- power order elements. Let N be a normal subgroup of a finite group G and let p be a fixed prime. Suppose that | x G |= 1or m for every q -element of N and for every prime q = p . Then, N has nilpotent p -complements. [-]
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Annali di Matematica Pura ed Applicata (June 2014)Rights
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- MAT_Articles [770]