%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