An embedding theorem for fields
1976 ◽
Vol 14
(2)
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pp. 193-198
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Keyword(s):
It is shown that every finitely generated field K of characteristic 0 may be embedded in infinitely many p-adic fields in such a way that the images of any given finite set C of non-zero elements of K are p-adic units. The result is suggested by Lech's proof of his generalization of Mahler's theorem on recurrent sequences. It also provides a simple proof of Selberg's theorem about torsion-free normal subgroups of matrix groups.
1977 ◽
Vol 23
(2)
◽
pp. 147-165
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Keyword(s):
2010 ◽
Vol 06
(03)
◽
pp. 579-586
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Keyword(s):
1974 ◽
Vol 17
(3)
◽
pp. 305-318
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Keyword(s):
1992 ◽
Vol 35
(3)
◽
pp. 390-399
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Keyword(s):
1995 ◽
Vol 117
(3)
◽
pp. 431-438
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2019 ◽
Vol 18
(04)
◽
pp. 1950074
Keyword(s):