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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Títol
Structure of p -complements in groups with three p-regular class sizesData de publicació
2012Editor
Springer-VerlagISSN
0026-9255; 1436-5081Tipus de document
info:eu-repo/semantics/articleVersió de l'editorial
http://link.springer.com/content/pdf/10.1007%2Fs00605-012-0466-x.pdfVersió
info:eu-repo/semantics/publishedVersionParaules clau / Matèries
Resum
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 . [-]
Publicat a
Monatshefte für Mathematik (2012)Drets d'accés
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