%0 Electronic Article %A Dempwolff, Ulrich and Müller, Peter %I Walter de Gruyter GmbH %D 2009 %D 2009 %G English %@ 1615-7168 %@ 1615-715X %~ Katalog der Universitätsbibliothek Leipzig %T Factorized spread sets and translation planes with large homology groups %V 9 %J advg %V 9 %N 1 %P 111-124 %U http://dx.doi.org/10.1515/advgeom.2009.007 %X Abstract In this note we construct some series of translation planes of order q 2 which possess two commuting homology groups of order q – 1 and (q + 1)(q – 1, 2) respectively. These translation planes can be considered as relatives of nearfield planes: for nearfield planes the nontrivial part of the associated spread set is a group whereas in our case this set is the product of two groups. %Z https://katalog.ub.uni-leipzig.de/Record/ai-49-aHR0cDovL2R4LmRvaS5vcmcvMTAuMTUxNS9hZHZnZW9tLjIwMDkuMDA3 %U https://katalog.ub.uni-leipzig.de/Record/ai-49-aHR0cDovL2R4LmRvaS5vcmcvMTAuMTUxNS9hZHZnZW9tLjIwMDkuMDA3