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Finite index supergroups and subgroups of torsionfree abelian groups of rank two (CROSBI ID 139323)

Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija

Eda, Katsuya ; Matijević, Vlasta Finite index supergroups and subgroups of torsionfree abelian groups of rank two // Journal of algebra, 319 (2008), 3567-3587

Podaci o odgovornosti

Eda, Katsuya ; Matijević, Vlasta

engleski

Finite index supergroups and subgroups of torsionfree abelian groups of rank two

Every torsionfree abelian group A of rank two is a subgroup of QxQ and is expressed as a direct limit of free abelian groups of rank two with lower diagonal integer-valued 2×2-matrices as the bonding maps. Using these direct systems we classify all subgroups of QxQ which are finite index supergroups of A or finite index subgroups of A. Furthermore, we prove that for each prime p there exists a torsionfree abelian group A such that each pair of distinct s-index supergroups of A are non-isomorphic and each pair of distinct s-index subgroups of A are non-isomorphic.

Torsionfree abelian group; rank two; finite index; subgroup; supergroup

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Podaci o izdanju

319

2008.

3567-3587

objavljeno

0021-8693

Povezanost rada

Matematika

Indeksiranost