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FINITE p-GROUPS ALL OF WHOSE MAXIMAL SUBGROUPS, EXCEPT ONE, HAVE ITS DERIVED SUBGROUP OF ORDER <=P (CROSBI ID 202749)

Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija

Janko, Zvonimir FINITE p-GROUPS ALL OF WHOSE MAXIMAL SUBGROUPS, EXCEPT ONE, HAVE ITS DERIVED SUBGROUP OF ORDER <=P // Glasnik matematički, 47 (2012), 67; 325-332

Podaci o odgovornosti

Janko, Zvonimir

engleski

FINITE p-GROUPS ALL OF WHOSE MAXIMAL SUBGROUPS, EXCEPT ONE, HAVE ITS DERIVED SUBGROUP OF ORDER <=P

Let G be a finite p-group which has exactly one maximal subgroup H such that the order of H' is >p. Then we have d(G)=2, p=2, H' is a four-group, G' is abelian of order 8 and type (4, 2), G is of class 3 and the structure of G is completely determined. This solves the problem Nr. 1800 stated by Y. Berkovich in /3/.

Finite p-groups; minimal nonabelian p-groups; commutator subgroups; nilpotence class of p-groups; Frattini subgroups; generators and relations.

Prof.dr. Zvonimi Janko je suradnik na ovom znanstvenom projektu iz hrvatske dijaspore.

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Podaci o izdanju

47 (67)

2012.

325-332

objavljeno

0017-095X

Povezanost rada

Matematika

Indeksiranost