Mappings of group shifts

Autor:	Anthony Quas, Paul Trow
Rok vydání:	2001
Předmět:	Combinatorics Symmetric group General Mathematics Unitary group Affine group Quaternion group Perfect group Alternating group General linear group Quotient group Mathematics
Zdroj:	Israel Journal of Mathematics. 124:333-365
ISSN:	1565-8511 0021-2172
Popis:	A group shift is a proper closed shift-invariant subgroup ofG ℤ 2 whereG is a finite group. We consider a class of group shifts in whichG is a finite field and show that mixing is a necessary and sufficient condition on such a group shift for all codes from it into another group shift to be affine and all codes from another group shift into it to be affine. As a corollary, it will follow forG=ℤ p that two mixing group shifts are topologically conjugate if and only if they are equal.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::a0c972cc4c8b693f62006e2c4df239c0 https://doi.org/10.1007/bf02772629 Zobrazit plný text záznamu Full text from SpringerLink