Certain locally nilpotent varieties of groups
نویسندگان
چکیده
منابع مشابه
Certain Locally Nilpotent Varieties of Groups
Let c ≥ 0, d ≥ 2 be integers and N (d) c be the variety of groups in which every dgenerator 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 N (d) c is locally nilpotent? We prove that if c ≤ 2 d + 2 − 3 then the variety N (d) c is locally nilpotent and we reduce the question of Gupta about the periodic groups in N (d) c to...
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ژورنال
عنوان ژورنال: Bulletin of the Australian Mathematical Society
سال: 2003
ISSN: 0004-9727,1755-1633
DOI: 10.1017/s0004972700033578