Pregled bibliografske jedinice broj: 161590
Elements of order at most 4 in finite 2-Groups
Elements of order at most 4 in finite 2-Groups // Journal of group theroy, 7 (2004), 431-436 (međunarodna recenzija, članak, znanstveni)
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Naslov
Elements of order at most 4 in finite 2-Groups
Autori
Janko, Zvonimir
Izvornik
Journal of group theroy (1433-5883) 7
(2004);
431-436
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
finite p-group; cyclic group; dihedral group
(finite 2-group; cyclic group; dihedral group)
Sažetak
It is known fact that the subgroup generated by all elements of order at most 4 in a finite 2-group G has a strong influence on the structure of the whole group G. For example, if the subgroup is metacyclic, then G is also metacyclic (N. Blackburn). We show that a finite p-group G all of whose non-cyclic subgroups are generated by elements of order p is cyclic or of exponent p or a dihedral 2-group.
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
