Pregled bibliografske jedinice broj: 286424
On maximal cyclic subgroups in finite p-groups
On maximal cyclic subgroups in finite p-groups // Mathematische Zeitschrift, 254 (2006), 1; 29-31 (međunarodna recenzija, članak, znanstveni)
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Naslov
On maximal cyclic subgroups in finite p-groups
Autori
Janko, Zvonimir
Izvornik
Mathematische Zeitschrift (0025-5874) 254
(2006), 1;
29-31
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
finite p-groups; powerful p-groups; metacyclic p-groups
Sažetak
In this note we consider finite noncyclic p-groups G all of whose maximal cyclic subgroups X satisfy one of the following two properties: (a) If each subgroup H of G containing X properly is nonabelian, then p=2 and G is generalized quaternion. (b) If X is contained in exactly one maximal subgroup of G, then G is metacyclic. This solves the problems Nr.1541 and Nr.1594 from /1/.
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
