most citedThe order of principal congruences of a semimodular lattice

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math.RA2013★ 1 cited

The order of principal congruences of a semimodular lattice

G. Grätzer, E. T. Schmidt

This paper has been withdrawn by the authors due to a crucial computational error. In this paper we deal with the finite case. We prove that a finite bounded ordered set can be rep…

math.RA2012

Composition series in groups and the structure of slim semimodular lattices

Gabor Czedli, E. Tamas Schmidt

Let H and K be finite composition series of a group G. The intersections H_i\cap K_j of their members form a lattice CSL(H,\K) under set inclusion. Improving the Jordan-Hölder theo…