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...
| প্রধান লেখক: | |
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| বিন্যাস: | Journal article |
| ভাষা: | English |
| প্রকাশিত: |
Elsevier
2010
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| বিষয়গুলি: |
| সংক্ষিপ্ত: | <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> |
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