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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Номзүйн дэлгэрэнгүй
Үндсэн зохиолч: Vaughan-Lee, M
Формат: Journal article
Хэл сонгох:English
Хэвлэсэн: Elsevier 2010
Нөхцлүүд:
Тодорхойлолт
Тойм:<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>