Certain locally nilpotent varieties of groups
2003 ◽
Vol 67
(1)
◽
pp. 115-119
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.
1996 ◽
Vol 06
(03)
◽
pp. 325-338
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Keyword(s):
1969 ◽
Vol 310
(1502)
◽
pp. 393-399
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1976 ◽
Vol 21
(3)
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pp. 267-276
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2002 ◽
Vol 132
(2)
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pp. 193-196
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1968 ◽
Vol 26
(2)
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pp. 197-213
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1972 ◽
Vol 14
(2)
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pp. 129-154
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Keyword(s):
1996 ◽
Vol 06
(06)
◽
pp. 735-744
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Keyword(s):
1968 ◽
Vol 307
(1490)
◽
pp. 235-250
◽
1969 ◽
Vol 1
(1)
◽
pp. 15-25
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