A Characterization of Quaternion Planes, Revisited |
| |
Authors: | Marku Stroppel |
| |
Affiliation: | (1) Mathamatisches Institut B, Universität Stuttgart, Pfaffenwaldring 57, 70550 Stuttgart, Germany; e-mail |
| |
Abstract: | It is shown that the group PSL2(H) cannot act effectively on any eight-dimensional stable plane. Together with previous results, this entails that every eight-dimensional stable plane admitting a nontrivial action of SL2(H) embeds into the projective plane over Hamilton's quaternions H. |
| |
Keywords: | quaternions quaternion planes stable planes. |
本文献已被 SpringerLink 等数据库收录! |
|