A Fedorov group is the symmetry group of a $3$-dimensional configuration in space.
Also known as
A Fedorov group can also be defined as a $3$-dimensional space group.
Hence some sources refer to a Fedorov group just as a space group.
Crystallographers can be seen to refer to these groups as the crystallography groups, as this is the field in which they originated.
- 219 Fedorov Groups
- Results about Fedorov groups can be found here.
Source of Name
This entry was named for Evgraf Stepanovich Fedorov.
The Fedorov groups were first enumerated by Evgraf Stepanovich Fedorov in $1891$.
His original list had $2$ omissions and $1$ duplication.
Arthur Moritz Schönflies, also in $1891$, independently investigated the same groups, but his list had $4$ omissions and $1$ duplication.
In $1892$, Fedorov and Schönflies collaborated on the definitive list, via correspondence, establishing that there are $230$ Fedorov groups if chiral copies are taken as distinct, but $219$ if not.
- 1986: David Wells: Curious and Interesting Numbers ... (previous) ... (next): $219$
- 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $219$