Regular formal modules in local fields and irregularly degree | Zendy

Natalya K. Vlaskina | Zendy; С. В. Востоков | Zendy; Petr N. Pital’ | Zendy; Aleksey E. Tsybyshiev | Zendy

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Regular formal modules in local fields and irregularly degree

Author(s) -

Natalya K. Vlaskina,

С. В. Востоков,

Petr N. Pital’,

Aleksey E. Tsybyshiev

Publication year - 2020

Publication title -

vestnik of saint petersburg university mathematics mechanics astronomy

Language(s) - English

Resource type - Journals

eISSN - 2587-5884

pISSN - 1025-3106

DOI - 10.21638/spbu01.2020.402

Subject(s) - mathematics , endomorphism , degree (music) , multiplicative function , abelian group , formal group , pure mathematics , field (mathematics) , integer (computer science) , multiplicative group , extension (predicate logic) , ramification , local field , polynomial , finite field , discrete mathematics , mathematical analysis , geometry , physics , computer science , acoustics , programming language

In this paper we investigate the irregular degree of finite not ramified local field extantions with respect to a polynomial formal group and in the multiplicative case. There was found necessary and sufficient conditions for the existence of primitive roots of ps power from 1 and (endomorphism [ps]Fm) in L-th unramified extension of the local field K (for all positive integer s). These conditions depend only on the ramification index of the maximal abelian subextension of the field K Ka/Qp.

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