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On the structure of some non-periodic groups whose subgroups of infinite special rank are transitively normal
A group G has a finite special rank r, if every finitely generated subgroup of G can be generated by at most r elements, and there exists a finitely generated subgroup H which has exactly r generators. This paper is devoted to genera lized radical non-Abelian groups of infinite special rank whose...
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Видавничий дім "Академперіодика" НАН України
2021
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| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/184812 |
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irk-123456789-1848122022-07-18T01:26:11Z On the structure of some non-periodic groups whose subgroups of infinite special rank are transitively normal Velychko, T.V. Математика A group G has a finite special rank r, if every finitely generated subgroup of G can be generated by at most r elements, and there exists a finitely generated subgroup H which has exactly r generators. This paper is devoted to genera lized radical non-Abelian groups of infinite special rank whose subgroups of infinite special rank are transitively normal. Група G має скінченний спеціальний ранг r, якщо кожна скінченно породжена підгрупа G може бути породжена не більш ніж r eлементами та існує скінченно породжена підгрупа H, яка має точно r породжуючих eлементів. У статті наведено опис узагальнених радикальних неабелевих груп, в яких підгрупи нескінченного спеціального рангу є транзитивно нормальними. 2021 Article On the structure of some non-periodic groups whose subgroups of infinite special rank are transitively normal / T.V. Velychko // Доповіді Національної академії наук України. — 2021. — № 6. — С. 12-14. — Бібліогр.: 10 назв. — англ. 1025-6415 DOI: doi.org/10.15407/dopovidi2021.06.012 http://dspace.nbuv.gov.ua/handle/123456789/184812 512.544 en Доповіді НАН України Видавничий дім "Академперіодика" НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| topic |
Математика Математика |
| spellingShingle |
Математика Математика Velychko, T.V. On the structure of some non-periodic groups whose subgroups of infinite special rank are transitively normal Доповіді НАН України |
| description |
A group G has a finite special rank r, if every finitely generated subgroup of G can be generated by at most r elements,
and there exists a finitely generated subgroup H which has exactly r generators. This paper is devoted to genera lized
radical non-Abelian groups of infinite special rank whose subgroups of infinite special rank are transitively normal. |
| format |
Article |
| author |
Velychko, T.V. |
| author_facet |
Velychko, T.V. |
| author_sort |
Velychko, T.V. |
| title |
On the structure of some non-periodic groups whose subgroups of infinite special rank are transitively normal |
| title_short |
On the structure of some non-periodic groups whose subgroups of infinite special rank are transitively normal |
| title_full |
On the structure of some non-periodic groups whose subgroups of infinite special rank are transitively normal |
| title_fullStr |
On the structure of some non-periodic groups whose subgroups of infinite special rank are transitively normal |
| title_full_unstemmed |
On the structure of some non-periodic groups whose subgroups of infinite special rank are transitively normal |
| title_sort |
on the structure of some non-periodic groups whose subgroups of infinite special rank are transitively normal |
| publisher |
Видавничий дім "Академперіодика" НАН України |
| publishDate |
2021 |
| topic_facet |
Математика |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/184812 |
| citation_txt |
On the structure of some non-periodic groups whose subgroups of infinite special rank are transitively normal / T.V. Velychko // Доповіді Національної академії наук України. — 2021. — № 6. — С. 12-14. — Бібліогр.: 10 назв. — англ. |
| series |
Доповіді НАН України |
| work_keys_str_mv |
AT velychkotv onthestructureofsomenonperiodicgroupswhosesubgroupsofinfinitespecialrankaretransitivelynormal |
| first_indexed |
2023-10-18T22:59:57Z |
| last_indexed |
2023-10-18T22:59:57Z |
| _version_ |
1796156987204960256 |