Pregled bibliografske jedinice broj: 236394
Finite 2-groups with a nonabelian Frattini subgroup of order 16
Finite 2-groups with a nonabelian Frattini subgroup of order 16 // Archiv der Mathematik, 86 (2006), 11-15 (međunarodna recenzija, članak, znanstveni)
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Naslov
Finite 2-groups with a nonabelian Frattini subgroup of order 16
Autori
Božikov, Zdravka
Izvornik
Archiv der Mathematik (0003-889X) 86
(2006);
11-15
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
finite 2-group; Frattini subgroup; nonabelian group
Sažetak
According to a classical result of Burnside, if G is a finite 2-group, then the Frattini subgroup Fi(G) of G cannot be a nonabelian group of order 8. Here we study the next possible case, where G is a finite 2-group and Fi(G) is nonabelian of order 16. We show that in that case Fi(G)is equivalent to M x C_2, where M is equivalent to D_8 or Q_8 and we shall classify all such groups G (Theorem A).
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
0083031
Ustanove:
Fakultet građevinarstva, arhitekture i geodezije, Split
Profili:
Zdravka Božikov
(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
