Skoči na glavni sadržaj

Izvorni znanstveni članak

Finite nonabelian 2-groups in which any two noncommuting elements generate a subgroup of maximal class

Zvonimir Janko


Puni tekst: engleski pdf 136 Kb

str. 271-274

preuzimanja: 674

citiraj


Sažetak

We determine here the structure of the title groups. It turns out that such a group G is either quasidihedral or G = HZ(G), where H is of maximal class or extraspecial and (Z(G)) ≤ Z(H). This solves a problem stated by Berkovich. The corresponding problem for p > 2 is open but very difficult since the p-groups of maximal class are not classified for p > 2.

Ključne riječi

Finite 2-groups; 2-groups of maximal class; minimal nonabelian 2-groups; quasidihedral 2-groups; Hughes Hp-subgroups

Hrčak ID:

5852

URI

https://hrcak.srce.hr/5852

Datum izdavanja:

9.12.2006.

Posjeta: 1.125 *