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The quotients of the p-adic group ring of a cyclic group of order p

Year: 2025

Type: article

Abstract: In this paper, we classify up to isomorphism, the [Formula: see text]-modules of rank [Formula: see text] (i.e. the quotients of [Formula: see text]) for [Formula: see text] cyclic of order [Formula: see text], where [Formula: see text] is the ring of [Formula: see text]-adic integers. This allows us in particular to determine effectively the quotients of [Formula: see text] which are cohomologically trivial over [Formula: see text]. There are natural zeta functions associated to [Formula: see text] for which we give an explicit formula.

Source: Journal of Algebra and Its Applications

DOI: 10.1142/s0219498827500861

Authors: Maria Guedri, Yassine Guerboussa

Institutions: University Frères Mentouri Constantine 1, University of Ouargla

Language: English

Topic: Finite Group Theory Research

Subfield: Discrete Mathematics and Combinatorics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W4415978644

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