An insoluble (p − 2)-Engel group of exponent p
<p>In 1971 Razmyslov found a beautiful construction for insoluble, locally nilpotent groups of exponent <em>p</em>(<em>p</em> ≥ 5). In 1978 Razmyslov refined his construction, and showed that it also gives insoluble groups of exponent 4. In this note we show that Razmys...
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| Format: | Journal article |
| Language: | English |
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Elsevier
2010
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| _version_ | 1797088229710626816 |
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| author | Vaughan-Lee, M |
| author_facet | Vaughan-Lee, M |
| author_sort | Vaughan-Lee, M |
| collection | OXFORD |
| description | <p>In 1971 Razmyslov found a beautiful construction for insoluble, locally nilpotent groups of exponent <em>p</em>(<em>p</em> ≥ 5). In 1978 Razmyslov refined his construction, and showed that it also gives insoluble groups of exponent 4. In this note we show that Razmyslov's method can be used to construct insoluble, locally nilpotent, (<em>p</em> − 2)-Engel groups of exponent <em>p</em> for all primes <em>p</em> ≥ 5.</p> |
| first_indexed | 2024-03-07T02:47:01Z |
| format | Journal article |
| id | oxford-uuid:ac622e1d-f2fc-4b02-9d0d-5abc02bfd4e9 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T02:47:01Z |
| publishDate | 2010 |
| publisher | Elsevier |
| record_format | dspace |
| spelling | oxford-uuid:ac622e1d-f2fc-4b02-9d0d-5abc02bfd4e92022-03-27T03:28:35ZAn insoluble (p − 2)-Engel group of exponent pJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:ac622e1d-f2fc-4b02-9d0d-5abc02bfd4e9MathematicsGroup theory and generalizations (mathematics)EnglishOxford University Research Archive - ValetElsevier2010Vaughan-Lee, M<p>In 1971 Razmyslov found a beautiful construction for insoluble, locally nilpotent groups of exponent <em>p</em>(<em>p</em> ≥ 5). In 1978 Razmyslov refined his construction, and showed that it also gives insoluble groups of exponent 4. In this note we show that Razmyslov's method can be used to construct insoluble, locally nilpotent, (<em>p</em> − 2)-Engel groups of exponent <em>p</em> for all primes <em>p</em> ≥ 5.</p> |
| spellingShingle | Mathematics Group theory and generalizations (mathematics) Vaughan-Lee, M An insoluble (p − 2)-Engel group of exponent p |
| title | An insoluble (p − 2)-Engel group of exponent p |
| title_full | An insoluble (p − 2)-Engel group of exponent p |
| title_fullStr | An insoluble (p − 2)-Engel group of exponent p |
| title_full_unstemmed | An insoluble (p − 2)-Engel group of exponent p |
| title_short | An insoluble (p − 2)-Engel group of exponent p |
| title_sort | insoluble p 2 engel group of exponent p |
| topic | Mathematics Group theory and generalizations (mathematics) |
| work_keys_str_mv | AT vaughanleem aninsolublep2engelgroupofexponentp AT vaughanleem insolublep2engelgroupofexponentp |