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Certain locally nilpotent varieties of groups
Published online by Cambridge University Press: 17 April 2009
Abstract
Let c ≥ 0, d ≥ 2 be integers and be the variety of groups in which every d-generator subgroup is nilpotent of class at most c. N.D. Gupta asked for what values of c and d is it true that is locally nilpotent? We prove that if c ≤ 2d + 2d−1 − 3 then the variety is locally nilpotent and we reduce the question of Gupta about the periodic groups in to the prime power exponent groups in this variety.
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 67 , Issue 1 , February 2003 , pp. 115 - 119
- Copyright
- Copyright © Australian Mathematical Society 2003