Generalized formal Lubin–Tate groups over multidimensional local fields are studied and classified.
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M. Hazewinkel, Formal Groups and Applications, Academic Press, New York (1978).
J. Lubin and J. Tate, “Formal complex multiplication in local fields,” Ann. Math., 81, No. 2, 380–387 (1985).
A. I. Madunts, “On the convergence of series over local fields,” Trudy St. Peterburg. Mat. Ob., 3, 283–320 (1994).
A. I. Madunts, “On convergence of sequences and series in multidimensional complete fields,” Ph.D. Thesis, St. Petersburg, 1–14 (1995).
A. I. Madunts, “Formal Lubin–Tate groups over the ring of integers of a higher-dimensional local field,” Zap. Nauchn. Semin. POMI, 281, 221–226 (2001).
A. I. Madunts, “Formal modules for relative Lubin–Tate formal groups,” Zap. Nauchn. Semin. POMI, 452, 177–194 (2016).
A. I. Madunts and R. P. Vostokova, “Formal modules for generalized Lubin–Tate groups,” Zap. Nauchn. Semin. POMI, 435, 95–112 (2015).
I. B. Zhukov and A. I. Madunts, “Multidimensional complete fields: topology and other basic constructions,” Trudy St. Peterburg. Mat. Ob., 3, 186–196 (1994).
I. B. Zhukov and A. I. Madunts, “Additive and multiplicative expansions in higherdimensional local fields,” Zap. Nauchn. Semin. POMI, 272, 186–196 (2000).
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Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 455, 2017, pp. 91–97.
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Madunts, A.I. Classification of Generalized Formal Lubin–Tate Groups over Multidimensional Local Fields. J Math Sci 234, 175–179 (2018). https://doi.org/10.1007/s10958-018-3994-7
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DOI: https://doi.org/10.1007/s10958-018-3994-7