Pregled bibliografske jedinice broj: 335950
Finite index supergroups and subgroups of torsionfree abelian groups of rank two
Finite index supergroups and subgroups of torsionfree abelian groups of rank two // Journal of Algebra, 319 (2008), 3567-3587 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 335950 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Finite index supergroups and subgroups of torsionfree abelian groups of rank two
Autori
Eda, Katsuya ; Matijević, Vlasta
Izvornik
Journal of Algebra (0021-8693) 319
(2008);
3567-3587
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Torsionfree abelian group; rank two; finite index; subgroup; supergroup
Sažetak
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.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
177-0372791-0886 - Grubi oblik i klasifikacija natkrivanja (Matijević, Vlasta, MZOS ) ( CroRIS)
Ustanove:
Prirodoslovno-matematički fakultet, Split
Profili:
Vlasta Matijević
(autor)
Citiraj ovu publikaciju:
Časopis indeksira:
- Current Contents Connect (CCC)
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
