Digital Repository of Luhansk Taras Shevchenko National University
Groups, in which almost all subgroups are near to normal
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| dc.contributor.author | Semko, M. M. | |
| dc.contributor.author | Kuchmenko, S. M. | |
| dc.date.accessioned | 2015-10-29T09:04:20Z | |
| dc.date.available | 2015-10-29T09:04:20Z | |
| dc.date.issued | 2004 | |
| dc.identifier.uri | http://hdl.handle.net/123456789/111 | |
| dc.description.abstract | A subgroup H of a group G is said to be nearly normal, if H has a finite index in its normal closure. These sub- groups have been introduced by B.H. Neumann. In a present paper is studied the groups whose non polycyclic by finite subgroups are nearly normal. It is not hard to show that under some natural restrictions these groups either have a finite derived subgroup or belong to the class S1F (the class of soluble by finite minimax groups). More precisely, this paper is dedicated of the study of S1F groups whose non polycyclic by finite subgroups are nearly normal. | uk_UA |
| dc.language.iso | en | uk_UA |
| dc.publisher | Луганский национальный университет им. Т. Шевченко | uk_UA |
| dc.title | Groups, in which almost all subgroups are near to normal | uk_UA |
| dc.type | Article | uk_UA |
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IV International Algebraic Conference in Ukraine. In this volume we complete to publish papers presented at the IV International Algebraic Conference in Ukraine, which took place in Lviv (Lemborg) on August 4--9, 2003.