Group algebras whose p-elements form a subgroup
2016 ◽
Vol 16
(09)
◽
pp. 1750170
Keyword(s):
Let [Formula: see text] be a group, [Formula: see text] a field of characteristic [Formula: see text], and [Formula: see text] the unit group of the group algebra [Formula: see text]. In this paper, among other results, we show that if either (1) [Formula: see text] satisfies a non-matrix polynomial identity, or (2) [Formula: see text] is locally finite, [Formula: see text] is infinite and [Formula: see text] is an Engel-by-finite group, then the [Formula: see text]-elements of [Formula: see text] form a (normal) subgroup [Formula: see text] and [Formula: see text] is abelian (here, of course, [Formula: see text] if [Formula: see text]).
2010 ◽
Vol 09
(02)
◽
pp. 305-314
◽
2016 ◽
Vol 101
(2)
◽
pp. 244-252
◽
Keyword(s):
Keyword(s):
1977 ◽
Vol 24
(3)
◽
pp. 339-349
◽
Keyword(s):
1982 ◽
Vol 23
(2)
◽
pp. 103-113
◽
Keyword(s):
1988 ◽
Vol 108
(1-2)
◽
pp. 117-132
Keyword(s):
2016 ◽
Vol 15
(05)
◽
pp. 1650092
Keyword(s):
2012 ◽
Vol 12
(01)
◽
pp. 1250130
Keyword(s):
2005 ◽
Vol 15
(03)
◽
pp. 571-576
◽
Keyword(s):
1962 ◽
Vol 5
(3)
◽
pp. 103-108
◽