Groups with many pronormal and transitively normal subgroups
A subgroup H of a group G is said to be transitively normal in G, if H is normal in every subgroup K ≥ H such that H is subnormal in K. We described some infinite groups, whose non–finitely generated subgroups are transitively normal.
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| Published in: | Algebra and Discrete Mathematics |
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| Date: | 2012 |
| Main Authors: | , , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут прикладної математики і механіки НАН України
2012
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/152231 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Groups with many pronormal and transitively normal subgroups / L.A. Kurdachenko, N.N. Semko (Jr.), I.Ya. Subbotin // Algebra and Discrete Mathematics. — 2012. — Vol. 14, № 1. — С. 84–106. — Бібліогр.: 27 назв. — англ. |