Wreath Products of Permutation Classes
Keyword(s):
A permutation class which is closed under pattern involvement may be described in terms of its basis. The wreath product construction $X\wr Y$ of two permutation classes $X$ and $Y$ is also closed, and we exhibit a family of classes $Y$ with the property that, for any finitely based class $X$, the wreath product $X\wr Y$ is also finitely based. Additionally, we indicate a general construction for basis elements in the case where $X\wr Y$ is not finitely based.
1999 ◽
Vol 19
(6)
◽
pp. 1617-1636
◽
1978 ◽
Vol 26
(2)
◽
pp. 198-208
◽
Keyword(s):
2014 ◽
Vol 91
(2)
◽
pp. 250-263
◽
Keyword(s):
Keyword(s):
2012 ◽
Vol 55
(2)
◽
pp. 390-399
◽
Keyword(s):
Keyword(s):
2015 ◽
Vol 26
(01)
◽
pp. 1550003
◽
2012 ◽
Vol 92
(1)
◽
pp. 127-136
◽
1989 ◽
Vol 40
(2)
◽
pp. 255-279
◽