Mostrar el registro sencillo del ítem
Landau's theorem on conjugacy classes for normal subgroups
dc.contributor.author | Beltrán, Antonio | |
dc.contributor.author | Felipe, Maria José | |
dc.contributor.author | Melchor Borja, Carmen | |
dc.date.accessioned | 2017-03-13T08:34:20Z | |
dc.date.available | 2017-03-13T08:34:20Z | |
dc.date.issued | 2016-10-10 | |
dc.identifier.citation | BELTRÁN FELIP, Antonio; FELIPE, María José; MELCHOR BORJA, Carmen. Landau's theorem on conjugacy classes for normal subgroups. International Journal of Algebra and Computation (2016), v. 26, n. 7, pp. 1453-1466 | ca_CA |
dc.identifier.uri | http://hdl.handle.net/10234/166647 | |
dc.description.abstract | Landau’s theorem on conjugacy classes asserts that there are only finitely many finite groups, up to isomorphism, with exactly k conjugacy classes for any positive integer k. We show that, for any positive integers n and s, there exist finitely many finite groups G, up to isomorphism, having a normal subgroup N of index n which contains exactly s non-central G-conjugacy classes. Upper bounds for the orders of G and N are obtained; we use these bounds to classify all finite groups with normal subgroups having a small index and few G-classes. We also study the related problems when we consider only the set of G-classes of prime-power order elements contained in a normal subgroup. | ca_CA |
dc.format.extent | 14 p. | ca_CA |
dc.format.mimetype | application/pdf | ca_CA |
dc.language.iso | eng | ca_CA |
dc.publisher | World Scientific | ca_CA |
dc.relation.isPartOf | International Journal of Algebra and Computation (2016), v. 26, n. 7 | ca_CA |
dc.rights.uri | http://rightsstatements.org/vocab/CNE/1.0/ | * |
dc.subject | Finite groups | ca_CA |
dc.subject | Conjugacy classes | ca_CA |
dc.subject | Normal subgroups | ca_CA |
dc.subject | Number of conjugacy classes | ca_CA |
dc.title | Landau's theorem on conjugacy classes for normal subgroups | ca_CA |
dc.type | info:eu-repo/semantics/article | ca_CA |
dc.identifier.doi | http://dx.doi.org/10.1142/S0218196716500624 | |
dc.rights.accessRights | info:eu-repo/semantics/restrictedAccess | ca_CA |
dc.relation.publisherVersion | http://www.worldscientific.com/doi/abs/10.1142/S0218196716500624 | ca_CA |
dc.type.version | info:eu-repo/semantics/publishedVersion |
Ficheros en el ítem
Ficheros | Tamaño | Formato | Ver |
---|---|---|---|
No hay ficheros asociados a este ítem. |
Este ítem aparece en la(s) siguiente(s) colección(ones)
-
MAT_Articles [753]
Articles de publicacions periòdiques