Conjugacy classes contained in normal subgroups: an overview
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Mostrar el registro completo del ítemcomunitat-uji-handle:10234/9
comunitat-uji-handle2:10234/7037
comunitat-uji-handle3:10234/8635
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INVESTIGACIONMetadatos
Título
Conjugacy classes contained in normal subgroups: an overviewFecha de publicación
2017Editor
University of IsfahanISSN
2251-7650Tipo de documento
info:eu-repo/semantics/articleVersión de la editorial
http://ijgt.ui.ac.ir/article_21216_81b380e8a7410497549aa4c7dfc2a71b.pdfVersión
info:eu-repo/semantics/publishedVersionPalabras clave / Materias
Resumen
We survey known results concerning how the conjugacy classes contained in a normal
subgroup and their sizes exert an in uence on the normal structure of a nite group. The approach
is mainly presented in the framework ... [+]
We survey known results concerning how the conjugacy classes contained in a normal
subgroup and their sizes exert an in uence on the normal structure of a nite group. The approach
is mainly presented in the framework of graphs associated to the conjugacy classes, which have been
introduced and developed in the past few years. We will see how the properties of these graphs, along
with some extensions of the classic Landau's Theorem on conjugacy classes for normal subgroups, have
been used in order to classify groups and normal subgroups satisfying certain conjugacy class numerical
conditions. [-]
Publicado en
Int. J. Group Theory. 2017Derechos de acceso
© 2017 University of Isfahan
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