caa a22 4500 46789955X CHVBK 20180406152813.0 cr unu---uuuuu 170328e20060101xx s 000 0 eng 10.1007/s00012-006-1964-2 doi (NATIONALLICENCE)springer-10.1007/s00012-006-1964-2 Schmidt Roland Mathematisches Seminar, Universität Kiel, 24098, Kiel, Germany aut Planar subgroup lattices [Elektronische Daten] [Roland Schmidt] In this paper we determine all finite groups with planar subgroup lattices. For this, by Kuratowski's theorem, we have to study subdivisions of the Kuratowski graphs K3,3 and K5 in the covering graph of the subgroup lattice of a finite group. It turns out that such a graph is planar if and only if it contains no subdivision of K3,3. Birkhäuser Verlag, Basel, 2006 Subgroup lattice nationallicence planar lattice nationallicence planar graph nationallicence algebra universalis Birkhäuser-Verlag; www.birkhauser.ch 55/1(2006-01-01), 1-12 0002-5240 55:1<1 2006 55 12 https://doi.org/10.1007/s00012-006-1964-2 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00012-006-1964-2 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Schmidt Roland Mathematisches Seminar, Universität Kiel, 24098, Kiel, Germany aut NATIONALLICENCE 773 0- algebra universalis Birkhäuser-Verlag; www.birkhauser.ch 55/1(2006-01-01), 1-12 0002-5240 55:1<1 2006 55 12 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer