naa a22 4500 51078366X CHVBK 20180411083255.0 cr unu---uuuuu 180411e20131001xx s 000 0 eng 10.1007/s11856-013-0005-z doi (NATIONALLICENCE)springer-10.1007/s11856-013-0005-z Square-central elements and standard generators for biquaternion algebras [Elektronische Daten] [Adam Chapman, Uzi Vishne] Analyzing square-central elements in central simple algebras of degree 4, we show that every two elementary abelian Galois maximal subfields are connected by a chain of nontrivially-intersecting pairs. Similar results are proved for non-central quaternion subalgebras, and for central quaternion subalgebras when they exist. Along these lines we classify the maximal square-central subspaces. We also show that every two standard quadruples of generators of a biquaternion algebra are connected by a chain of basic steps, in each of which at most two generators are being changed. Hebrew University Magnes Press, 2013 Chapman Adam Deptartment of Mathematics, Bar Ilan University, 52900, Ramat Gan, Israel aut Vishne Uzi Deptartment of Mathematics, Bar Ilan University, 52900, Ramat Gan, Israel aut Israel Journal of Mathematics Springer US; http://www.springer-ny.com 197/1(2013-10-01), 409-423 0021-2172 197:1<409 2013 197 11856 https://doi.org/10.1007/s11856-013-0005-z text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11856-013-0005-z text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Chapman Adam Deptartment of Mathematics, Bar Ilan University, 52900, Ramat Gan, Israel aut NATIONALLICENCE 700 1- Vishne Uzi Deptartment of Mathematics, Bar Ilan University, 52900, Ramat Gan, Israel aut NATIONALLICENCE 773 0- Israel Journal of Mathematics Springer US; http://www.springer-ny.com 197/1(2013-10-01), 409-423 0021-2172 197:1<409 2013 197 11856 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer