Metanilpotent varieties of groups
2002 ◽
Vol 73
(1)
◽
pp. 55-84
AbstractFor each positive integer n let N2, n denote the variety of all groups which are nilpotent of class at most 2 and which have exponent dividing n. For positive integers m and n, let N2, mN2, n denote the variety of all groups which have a normal subgroup in N2, m with factor group in N2, n. It is shown that if G ∈N2, mN2, n, where m and n are coprime, then G has a finite basis for its identities.
1991 ◽
Vol 14
(3)
◽
pp. 457-462
◽
Keyword(s):
1961 ◽
Vol 5
(1)
◽
pp. 35-40
◽
1969 ◽
Vol 9
(3-4)
◽
pp. 478-488
◽
2018 ◽
Vol 11
(04)
◽
pp. 1850056
◽
Keyword(s):
2021 ◽
Vol 14
(2)
◽
pp. 380-395
2009 ◽
Vol DMTCS Proceedings vol. AK,...
(Proceedings)
◽
2015 ◽
Vol DMTCS Proceedings, 27th...
(Proceedings)
◽