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