Glasnik Matematicki, Vol. 51, No. 2 (2016), 335-343.

SOME APPLICATIONS OF THE P-ADIC ANALYTIC SUBGROUP THEOREM

Clemens Fuchs and Duc Hiep Pham

University of Education, Vietnam National University, Hanoi, 144 Xuan Thuy, Cau Giay, Hanoi, Vietnam
e-mail: phamduchiepk6@gmail.com

Abstract.   We use a p-adic analogue of the analytic subgroup theorem of Wüstholz to deduce the transcendence and linear independence of some new classes of p-adic numbers. In particular we give p-adic analogues of results of Wüstholz contained in [20] and generalizations of results obtained by Bertrand in [3, 4].

2010 Mathematics Subject Classification.   11G99, 14L10, 11J86.

Key words and phrases.   Commutative algebraic groups, transcendence theory, p-adic numbers.

DOI: 10.3336/gm.51.2.04

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