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| Paper IPM / M / 773 |
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| Abstract: | |
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Let c ≥ 0, d ≥ 2 be integers and Nc(d) be the
variety of groups in which every d-generator subgroup is
nilpotent of class at most c. N.D. Gupta posed this question that
for what values of c and d it is true that Nc(d)
is locally nilpotent? We prove that if c ≤ 2d+2d−1−3 then
the variety Nc(d) is locally nilpotent and we reduce
the question of Gupta about the periodic groups in
Nc(d) to the prime power finite exponent groups in this
variety.
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