On the dimensions of automorphism groups of 8-dimensional ternary fields I |
| |
Authors: | Richard Bödi |
| |
Institution: | (1) Mathematisches Institut, Universität Tübingen, Auf der Morgenstelle 10, 72076 Tübingen, Germany |
| |
Abstract: | Let be an eight-dimensional, connected, locally compact ternary field and let denote a connected closed subgroup of its automorphism group which is taken with the compact-open topology. It is proved that is either isomorphic to the compact exceptional Lie group G2, or the (covering) dimension of is at most 11. This bound can be decreased to 10, if the ternary fixed fieldF
of is connected. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|