Structure of p -complements in groups with three p-regular class sizes
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http://dx.doi.org/10.1007/s00605-012-0466-x |
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Title
Structure of p -complements in groups with three p-regular class sizesDate
2012Publisher
Springer-VerlagISSN
0026-9255; 1436-5081Type
info:eu-repo/semantics/articlePublisher version
http://link.springer.com/content/pdf/10.1007%2Fs00605-012-0466-x.pdfVersion
info:eu-repo/semantics/publishedVersionAbstract
Let G be a finite p -solvable group for some prime p and suppose that the set of p -regular conjugacy class sizes is {1,m,mn} with (m,n)=1 and m coprime to p . We show that m=qb for some prime q and we describe the ... [+]
Let G be a finite p -solvable group for some prime p and suppose that the set of p -regular conjugacy class sizes is {1,m,mn} with (m,n)=1 and m coprime to p . We show that m=qb for some prime q and we describe the structure of the p -complements of G . [-]
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Monatshefte für Mathematik (2012)Rights
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- MAT_Articles [766]