Finitarily linear wreath products
2000 ◽
Vol 43
(1)
◽
pp. 27-41
Keyword(s):
AbstractWe consider faithful finitary linear representations of (generalized) wreath products A wrΩH of groups A by H over (potentially) infinite-dimensional vector spaces, having previously considered completely reducible such representations in an earlier paper. The simpler the structure of A the more complex, it seems, these representations can become. If A has no non-trivial abelian normal subgroups, the conditions we present are both necessary and sufficient. They imply, for example, that for such an A, if there exists such a representation of the standard wreath product A wr H of infinite dimension, then there already exists one of finite dimension.
2020 ◽
Vol 63
(4)
◽
pp. 956-970
◽
1990 ◽
Vol 32
(1)
◽
pp. 25-33
◽
1971 ◽
Vol 5
(2)
◽
pp. 157-173
◽
2013 ◽
Vol 23
(04)
◽
pp. 915-941
◽
2014 ◽
Vol 24
(4)
◽
pp. 723-733