Nonperiodic product of subsets and Haj´ os’ theorem
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The conclusion now fo11ows in the same way as in the proof of theorem
Solution proposed by Roberto Tauraso, Dipartimento di Matematica, Universit`a di Roma “Tor Vergata”, via della Ricerca Scientifica, 00133 Roma,
Solution proposed by Roberto Tauraso, Dipartimento di Matematica, Universit`a di Roma “Tor Vergata”, via della Ricerca Scientifica, 00133 Roma,
[r]
Excluding the special case in which H = H 0 , by restricting the attention to soluble or abelian groups, for example, the above construction gives a large family of examples
For instance, it was proved that a finite nilpotent group has modular subgroup lattices if and only if every two of its subgroups are permutable.. The full description of finite
The authors of [5] denote by H(G) the set of all H-subgroups of G.. Gasch¨ utz [7] introduced the class of finite T -groups and characterized solvable T -groups. He proved that
Then there is a co- ordinatization so that the right and middle associated groups (right and middle nuclei) are equal and contained in the left nucleus (coordinate kernel) of