BURNSIDE AND KUROSH PROBLEMS
2004 ◽
Vol 14
(02)
◽
pp. 197-211
◽
For any integer d≥2 and over any field [Formula: see text], we construct a residually finite nonnilpotent nil algebra over [Formula: see text] generated by d elements such that any d-1 elements generate a nilpotent subalgebra. This leads to analogous results for nonassociative algebras and groups. In our proof we do not use the well-known Golod-Šafareviš lemma.
2019 ◽
Vol 62
(S1)
◽
pp. S14-S27
◽
1969 ◽
Vol 10
(3-4)
◽
pp. 497-498
◽
Keyword(s):
2017 ◽
Vol 16
(10)
◽
pp. 1750200
◽
2016 ◽
Vol 27
(08)
◽
pp. 909-941
◽
2007 ◽
Vol 17
(03)
◽
pp. 527-555
◽
1992 ◽
Vol 35
(3)
◽
pp. 390-399
◽
Keyword(s):