Glasnik matematički, Vol. 41 No. 1, 2006.
Original scientific paper
Finite 2-groups G with Ω2*(G) metacyclic
Zvonimir Janko
Abstract
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.
Keywords
Finite 2-groups; 2-groups of maximal class; metacyclic groups
Hrčak ID:
3300
URI
Publication date:
24.5.2006.
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