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On some generalization of the malnormal subgroups | ||
| International Journal of Group Theory | ||
| مقاله 3، دوره 9، شماره 1، خرداد 2020، صفحه 7-24 اصل مقاله (255.34 K) | ||
| نوع مقاله: Ischia Group Theory 2018 | ||
| شناسه دیجیتال (DOI): 10.22108/ijgt.2018.112124.1487 | ||
| نویسندگان | ||
| Leonid A Kurdachenko1؛ Nikolai Semko2؛ Igor Subbotin* 3 | ||
| 1National University of Dnipro | ||
| 2University of State Fiscal Service of Ukraine | ||
| 3Department of Mathematics and Natural Sciences, College of Letters and Sciences, National University, USA | ||
| چکیده | ||
| A subgroup $H$ of a group $G$ is called malonormal in $G$ if $H \cap H^x =\langle 1\rangle$ for every element $x \notin N_G(H)$. These subgroups are generalizations of malnormal subgroups. Every malnormal subgroup is malonormal, and every selfnormalizing malonormal subgroup is malnormal. Furthermore, every normal subgroup is malonormal. In this paper we obtain a description of finite and certain infinite groups, whose subgroups are malonormal. | ||
| کلیدواژه‌ها | ||
| Malnormal Subgroups؛ Malonormal Subgroups؛ Frobenius Group؛ Locally Graded groups؛ Generalized Radical Groups | ||
| مراجع | ||
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