Third Engel groups
1989 ◽
Vol 40
(2)
◽
pp. 215-230
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Keyword(s):
We present some new results on third Engel groups which are motivated by computer calculations but are not dependent on them. They include:• for n > 2 every n-generator third Engel group is nilpotent of class at most 2n – 1;• the fifth term of the lower central series of a third Engel group has exponent dividing 20;• the subgroup generated by fifth powers of elements in a third Engel group is nearly centre-by-metabeliami;and a normal form theorem for freest third Engel groups without elements of order 2.
1977 ◽
Vol 67
(2)
◽
pp. 215-215
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Keyword(s):
Keyword(s):
2019 ◽
Vol 375
(3)
◽
pp. 2089-2153
◽
Keyword(s):
2018 ◽
Vol 12
(3)
◽
pp. 363-424
Keyword(s):
2007 ◽
Vol 17
(05n06)
◽
pp. 951-961
◽
2007 ◽
Vol 17
(08)
◽
pp. 1577-1592
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Keyword(s):