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Conjugacy classes contained in normal subgroups: an overview | ||
| International Journal of Group Theory | ||
| مقاله 5، دوره 7، شماره 1، خرداد 2018، صفحه 23-36 اصل مقاله (223.29 K) | ||
| نوع مقاله: Ischia Group Theory 2016 | ||
| شناسه دیجیتال (DOI): 10.22108/ijgt.2017.21216 | ||
| نویسندگان | ||
| Antonio Beltran1؛ Maria Jose Felipe2؛ Carmen Melchor* 1 | ||
| 1Universitat Jaume I | ||
| 2Universitat Politécnica de València | ||
| چکیده | ||
| We survey known results concerning how the conjugacy classes contained in a normal subgroup and their sizes exert an influence on the normal structure of a finite 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. | ||
| کلیدواژهها | ||
| Conjugacy classes؛ normal subgroups؛ graphs | ||
| مراجع | ||
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