Pregled bibliografske jedinice broj: 160633
Finite 2-groups with a self-centralizing elementary abelian subgroup of order 8
Finite 2-groups with a self-centralizing elementary abelian subgroup of order 8 // Journal of algebra, III (2003), 269; 189-214 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 160633 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Finite 2-groups with a self-centralizing elementary abelian subgroup of order 8
Autori
Janko, Zvonimir
Izvornik
Journal of algebra (0021-8693) III
(2003), 269;
189-214
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
finite 2-group; cyclic group; quaternion group; dihedral group; elementary abelian group
Sažetak
In this paper we clasify finite 2-groups G which possess a self-centralizing elementary abelian subgroup E of order 8. If E is normal in G, then G/E is isomorphic to a subgroup of GL(3, 2) and therefore G/E is isomorphic to a subgroup of dihedral group D8 of order 8. We determine here the unique 2-group G such that E=Fi(G). There are exactly five 2-groups G, where E is normal in G and E<=Fi(G). We present these groups in terms of generators and relations.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
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
Uključenost u ostale bibliografske baze podataka::
- Mathematical Reviews
