Explicit embeddings of finite abelian p-groups in the group $\mathcal{J}(\mathbb{F}_p )$
Tóm tắt
For every finite abelian p-group, an explicit embedding of this group in the Jennings group
$\mathcal{J}(\mathbb{F}_p )$
is constructed.
Tài liệu tham khảo
S. A. Jennings, “Substitution groups of formal power series,” Canad. J. Math. 6, 325–340 (1954).
R. Camina, “Subgroups of the Nottingham group,” J. Algebra 196(1), 101–113 (1997).
I. K. Babenko, “Algebra, geometry, and topology of the substitution group of formal power series,” Uspekhi Mat. Nauk 68(1), 3–76 (2013) [Russian Math. Surveys 68 (1), 1–68 (2013)].
J. Lubin and J. Tate, “Formal complexmultiplication in local fields,” Ann. ofMath. (2) 81(2), 380–387 (1965).