izvor podataka: crosbi
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On maximal cyclic subgroups in finite p-groups (CROSBI ID 129728)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Janko, Zvonimir
On maximal cyclic subgroups in finite p-groups // Mathematische Zeitschrift, 254 (2006), 1; 29-31-x
Podaci o odgovornosti
Janko, Zvonimir
engleski
On maximal cyclic subgroups in finite p-groups
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/.
finite p-groups; powerful p-groups; metacyclic p-groups
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