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Squares of real conjugacy classes in finite groups

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Squares of real conjugacy classes in finite groups

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Beltrán, A.; Felipe Román, MJ.; Melchor, C. (2018). Squares of real conjugacy classes in finite groups. ANNALI DI MATEMATICA PURA ED APPLICATA. 197(2):317-328. https://doi.org/10.1007/s10231-017-0681-0

Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/106283

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Title: Squares of real conjugacy classes in finite groups
Author: Beltrán, A. Felipe Román, María Josefa Melchor, C.
UPV Unit: Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada
Issued date:
Embargo end date: 2019-04-30
Abstract:
[EN] We prove that if a finite group G contains a conjugacy class K whose square is of the form 1¿D, where D is a conjugacy class of G, then ¿K¿ is a solvable proper normal subgroup of G and we completely determine its ...[+]


[ES] Probamos que si un grupo finito G contiene una clase de conjugación K cuyo cuadrado es unión 1 y D, siendo D una clase de conjugación de G, entonces el subgrupo generado por K es resoluble y normal en G. También se ...[+]
Subjects: Finite groups , Conjugacy classes , Product of classes, Characters , Real conjugacy classes
Copyrigths: Reserva de todos los derechos
Source:
ANNALI DI MATEMATICA PURA ED APPLICATA. (issn: 0003-4622 )
DOI: 10.1007/s10231-017-0681-0
Publisher:
Springer-Verlag
Publisher version: https://doi.org/10.1007/s10231-017-0681-0
Project ID:
info:eu-repo/grantAgreement/GVA//PROMETEOII%2F2015%2F011/ES/Caracteres y clases de conjugación de grupos finitos II/
Thanks:
The results in this paper are part of the third author's Ph.D. thesis at the University Jaume I of Castellon, who is financially supported by a predoctoral grant of this university PREDOC/2015/46. Part of the research has ...[+]
Type: Artículo

References

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