Orbits of Inner Mapping Groups |
| |
Authors: | Aleš Drápal |
| |
Institution: | (1) Charles University, Prague, Czech Republic, CZ |
| |
Abstract: | Several new tools are developed dealing with multiplication groups of loops. One of them is based upon the theorem that the
inner mapping group of a loop never acts faithfully on any of its orbits, unless it is trivial. The applications include an
analysis of loops whose inner mapping group is nonabelian of order pq. Some important earlier results are proved anew in a shorter way.
(Received 5 March 2001; in revised form 11 June 2001) |
| |
Keywords: | 2000 Mathematics Subject Classification: 20N05 20D60 |
本文献已被 SpringerLink 等数据库收录! |