Generalized nilpotent braces and nilpotent groups
The authors give a brief survey of some results concerning nilpotent braces and their generalizations. Various results concerning $\star$-hypercentral and locally $\star$-nilpotent braces are given.
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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University of Isfahan
2023-11-01
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| Series: | International Journal of Group Theory |
| Subjects: | |
| Online Access: | https://ijgt.ui.ac.ir/article_27989_90dc8050cccdc4c34ef9d501ea66ed8a.pdf |
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| _version_ | 1846162479005040640 |
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| author | Martyn Dixon Leonid Kurdachenko Igor Subbotin |
| author_facet | Martyn Dixon Leonid Kurdachenko Igor Subbotin |
| author_sort | Martyn Dixon |
| collection | DOAJ |
| description | The authors give a brief survey of some results concerning nilpotent braces and their generalizations. Various results concerning $\star$-hypercentral and locally $\star$-nilpotent braces are given. |
| format | Article |
| id | doaj-art-6f1a89de693748708a31a9c8e4b95957 |
| institution | Kabale University |
| issn | 2251-7650 2251-7669 |
| language | English |
| publishDate | 2023-11-01 |
| publisher | University of Isfahan |
| record_format | Article |
| series | International Journal of Group Theory |
| spelling | doaj-art-6f1a89de693748708a31a9c8e4b959572024-11-20T10:51:19ZengUniversity of IsfahanInternational Journal of Group Theory2251-76502251-76692023-11-01141254510.22108/ijgt.2023.138490.186027989Generalized nilpotent braces and nilpotent groupsMartyn Dixon0Leonid Kurdachenko1Igor Subbotin2Department of Mathematics, University of Alabama, Tuscaloosa, AL 35487-0350, U. S. A.Department of Algebra, Facultet of mathematic and mechanik, National University of Dnepropetrovsk, Gagarin prospect 72, Dnipro 10 49010, UkraineDepartment of Mathematics and Natural Sciences, National University,5245 Pacific Concourse Drive, Los Angeles, CA 90045-6904, U. S. A.The authors give a brief survey of some results concerning nilpotent braces and their generalizations. Various results concerning $\star$-hypercentral and locally $\star$-nilpotent braces are given.https://ijgt.ui.ac.ir/article_27989_90dc8050cccdc4c34ef9d501ea66ed8a.pdfbracenilpotent brace$\star$-hypercentral bracelocally $\star$-nilpotent brace |
| spellingShingle | Martyn Dixon Leonid Kurdachenko Igor Subbotin Generalized nilpotent braces and nilpotent groups International Journal of Group Theory brace nilpotent brace $\star$-hypercentral brace locally $\star$-nilpotent brace |
| title | Generalized nilpotent braces and nilpotent groups |
| title_full | Generalized nilpotent braces and nilpotent groups |
| title_fullStr | Generalized nilpotent braces and nilpotent groups |
| title_full_unstemmed | Generalized nilpotent braces and nilpotent groups |
| title_short | Generalized nilpotent braces and nilpotent groups |
| title_sort | generalized nilpotent braces and nilpotent groups |
| topic | brace nilpotent brace $\star$-hypercentral brace locally $\star$-nilpotent brace |
| url | https://ijgt.ui.ac.ir/article_27989_90dc8050cccdc4c34ef9d501ea66ed8a.pdf |
| work_keys_str_mv | AT martyndixon generalizednilpotentbracesandnilpotentgroups AT leonidkurdachenko generalizednilpotentbracesandnilpotentgroups AT igorsubbotin generalizednilpotentbracesandnilpotentgroups |