On metabelian groups of prime-power exponent
1968 ◽
Vol 302
(1469)
◽
pp. 237-242
◽
Meier-Wunderli has shown that every metabelian group of exponent p is nilpotent. Here we show that the subgroup generated by p k-1 th powers of elements in a metabelian group of exponent p k is nilpotent. We also obtain some information on the subgroup generated by p k-2 th powers. Finally we obtain a bound for the nilpotency class of n -generator metabelian groups of exponent p k .
1969 ◽
Vol 310
(1502)
◽
pp. 393-399
◽
1972 ◽
Vol 14
(2)
◽
pp. 129-154
◽
Keyword(s):
1968 ◽
Vol 307
(1490)
◽
pp. 235-250
◽
1969 ◽
Vol 1
(1)
◽
pp. 15-25
◽
1972 ◽
Vol 71
(2)
◽
pp. 179-188
◽
Keyword(s):
1992 ◽
Vol 46
(2)
◽
pp. 343-346
◽
Keyword(s):
1984 ◽
pp. 87-98
◽
2003 ◽
Vol 67
(1)
◽
pp. 115-119