1Dipartimento di Matematica e Applicazioni Università di Napoli via Cintia I-80126 Napoli, Italy 2Mathematisches Seminar Universität Kiel Ludewig-Meyn-Str. 4 D-24098 Kiel, Germany
Colloquium Mathematicum, Tome 95 (2003) no. 2, pp. 231-240
A group $G$ is called metamodular if for each subgroup $H$ of $G$ either the subgroup lattice ${{{\mathfrak L}}}(H)$ is modular or $H$ is a modular element of the lattice ${{{\mathfrak L}}}(G)$. Metamodular groups appear as the natural lattice analogues of groups in which every non-abelian subgroup is normal; these latter groups have been studied by Romalis and Sesekin, and here their results are extended to metamodular groups.
Keywords:
group called metamodular each subgroup either subgroup lattice mathfrak modular modular element lattice mathfrak metamodular groups appear natural lattice analogues groups which every non abelian subgroup normal these latter groups have studied romalis sesekin here their results extended metamodular groups
Affiliations des auteurs :
M. De Falco
1
;
F. de Giovanni
1
;
C. Musella
1
;
R. Schmidt
2
1
Dipartimento di Matematica e Applicazioni Università di Napoli via Cintia I-80126 Napoli, Italy
2
Mathematisches Seminar Universität Kiel Ludewig-Meyn-Str. 4 D-24098 Kiel, Germany
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title = {Groups with metamodular subgroup lattice},
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M. De Falco; F. de Giovanni; C. Musella; R. Schmidt. Groups with metamodular subgroup lattice. Colloquium Mathematicum, Tome 95 (2003) no. 2, pp. 231-240. doi: 10.4064/cm95-2-7
