The structure of locally finite groups of finite c-dimension
2019 ◽
Vol 18
(12)
◽
pp. 1950223
Keyword(s):
The [Formula: see text]-dimension of a group is the supremum of lengths of strict nested chains of centralizers. We describe the structure of locally finite groups of finite [Formula: see text]-dimension. We also prove that the [Formula: see text]-dimension of the quotient [Formula: see text] of a locally finite group [Formula: see text] by the locally soluble radical [Formula: see text] is bounded in terms of the [Formula: see text]-dimension of [Formula: see text].
Keyword(s):
1974 ◽
Vol 75
(1)
◽
pp. 1-22
◽
Keyword(s):
1987 ◽
Vol 36
(3)
◽
pp. 461-468
◽
2013 ◽
Vol 89
(3)
◽
pp. 479-487
◽
Keyword(s):
1978 ◽
Vol 84
(2)
◽
pp. 247-262
◽
Keyword(s):
Keyword(s):
1975 ◽
Vol 78
(2)
◽
pp. 215-226
◽
Keyword(s):
2012 ◽
Vol 86
(3)
◽
pp. 416-423
◽
Keyword(s):
1990 ◽
Vol 32
(2)
◽
pp. 153-163
◽
Keyword(s):