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Finite 2-groups G with Ω2*(G) metacyclic

Zvonimir Janko


Puni tekst: engleski pdf 224 Kb

str. 71-76

preuzimanja: 300

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Sažetak

In this paper we classify finite non-metacyclic 2-groups G such that Ω2*(G) (the subgroup generated by all elements of order 4) is metacyclic. However, if G is a finite 2-group such that Ω2(G) (the subgroup generated by all elements of order ≤ 4) is metacyclic, then G is metacyclic.

Ključne riječi

Finite 2-groups; 2-groups of maximal class; metacyclic groups

Hrčak ID:

3300

URI

https://hrcak.srce.hr/3300

Datum izdavanja:

24.5.2006.

Posjeta: 959 *