On a property of the moebius group |
| |
Authors: | H Schwerdtfeger |
| |
Institution: | (1) Montreal, Canada |
| |
Abstract: | Summary It is shown that the group of all Moebius transformations (M. T.) contains a subgroup
such that every non-involutory M. T. not in
can be transformed into each of its conjugates outside the subgroup
by a unique element of this subgroup. Hence every non-integral and non-involutory M. T. can be reduced into a normal form
by means of a unique element of
. Also a subgroup
*, can be determined such that elements of
* reduce all non-involutory M. T. not in
*, into their classical (integral) normal forms. There is also a discussion of the question as to other fields over which
the results remain valid.
To Enrico Bompiani on his scientific Jubilee. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|