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Infinite groups with many generalized normal subgroups | ||
| International Journal of Group Theory | ||
| مقاله 6، دوره 1، شماره 3، آذر 2012، صفحه 39-49 اصل مقاله (411.41 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22108/ijgt.2012.1223 | ||
| نویسندگان | ||
| Francesco de Giovanni* 1؛ Caterina Rainone2 | ||
| 1Dipartimento di Matematica e Applicazioni - University of Napoli Federico II | ||
| 2Universita di Napoli Federico II | ||
| چکیده | ||
| A subgroup $X$ of a group $G$ is almost normal if the index $|G:N_G(X)|$ is finite, while $X$ is nearly normal if it has finite index in the normal closure $X^G$. This paper investigates the structure of groups in which every (infinite) subgroup is either almost normal or nearly normal. | ||
| کلیدواژهها | ||
| Almost normality؛ nearly normality؛ normalizer subgroup | ||
| مراجع | ||
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