Arithmetical Conditions on Invariant Sylow Numbers
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Title
Arithmetical Conditions on Invariant Sylow NumbersDate
2018Publisher
Springer VerlagISSN
1660-5446; 1660-5454Bibliographic citation
Beltrán, A. & Shao, C. Mediterr. J. Math. (2018) 15: 49. https://doi.org/10.1007/s00009-018-1094-zType
info:eu-repo/semantics/articlePublisher version
https://link.springer.com/article/10.1007/s00009-018-1094-zVersion
info:eu-repo/semantics/publishedVersionSubject
Abstract
Let A and G be finite groups and suppose that A acts coprimely on G via automorphisms. A natural number n is said to be an A-invariant Sylow number if n is the number of A-invariant Sylow p-subgroups of G for some ... [+]
Let A and G be finite groups and suppose that A acts coprimely on G via automorphisms. A natural number n is said to be an A-invariant Sylow number if n is the number of A-invariant Sylow p-subgroups of G for some prime p. We investigate how the fact of imposing certain arithmetical conditions on the set of A-invariant Sylow numbers of G may imply the solvability of G. [-]
Is part of
Mediterranean Journal of Mathematics, April 2018Investigation project
PROMETEOII/2015/011 ; P11B2015-77 ; No. 11301218 ; No. ZR2014AM020Rights
http://rightsstatements.org/vocab/CNE/1.0/
info:eu-repo/semantics/restrictedAccess
info:eu-repo/semantics/restrictedAccess
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- MAT_Articles [751]