Finitely Generated Abelian Groups


Title: Finitely Generated Abelian Groups
Authors: Joseph Thommes and Manuel Eberl
Submission date: 2021-07-07
Abstract: This article deals with the formalisation of some group-theoretic results including the fundamental theorem of finitely generated abelian groups characterising the structure of these groups as a uniquely determined product of cyclic groups. Both the invariant factor decomposition and the primary decomposition are covered. Additional work includes results about the direct product, the internal direct product and more group-theoretic lemmas.
  author  = {Joseph Thommes and Manuel Eberl},
  title   = {Finitely Generated Abelian Groups},
  journal = {Archive of Formal Proofs},
  month   = jul,
  year    = 2021,
  note    = {\url{},
            Formal proof development},
  ISSN    = {2150-914x},
License: BSD License
Used by: Dirichlet_L
Status: [ok] This is a development version of this entry. It might change over time and is not stable. Please refer to release versions for citations.