Groups with context-free Diophantine problem
Keyword(s):
We find algebraic conditions on a group equivalent to the position of its Diophantine problem in the Chomsky Hierarchy. In particular, we prove that a finitely generated group has a context-free Diophantine problem if and only if it is finite.
Keyword(s):
2017 ◽
Vol 27
(08)
◽
pp. 1113-1120
Keyword(s):
2011 ◽
Vol 21
(04)
◽
pp. 595-614
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1971 ◽
Vol 5
(1)
◽
pp. 131-136
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Keyword(s):
2009 ◽
Vol 30
(6)
◽
pp. 1803-1816
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1992 ◽
Vol 53
(1)
◽
pp. 116-119
Keyword(s):