# Cameron–Fon-Der-Flaass IBIS Theorem

**Script error: No such module "AfC submission catcheck".**

In mathematics, **Cameron–Fon-Der-Flaass IBIS Theorem** arises in the dynamical algebraic combinatorics. The theorem was discovered in 1995 by two mathematicians Peter Cameron and Dima Fon-Der-Flaas.^{[1]} The theorem is considered to be a link between group theory and graph theory as it studies redundancy of a group.^{[2]}^{[1]}

## Statement[edit]

Let be a permutational group of , then the following will be similar.

- Irredundant bases of are stored by re-ordering.
- The bases of matroid are formed due to the irredundant bases of .
- Every irredundant base of got the same size.

## References[edit]

- ↑
^{1.0}^{1.1}Patrias, Rebecca; Pechenik, Oliver (2020). "Dynamics of plane partitions: Proof of the Cameron–Fon-Der-Flaass conjecture".*Forum of Mathematics, Sigma*.**8**: 62. doi:10.1017/fms.2020.61. ISSN 2050-5094. - ↑ Cameron, P. J; Fon-Der-Flaass, D. G (1995-11-01). "Bases for permutation groups and matroids".
*European Journal of Combinatorics*.**16**(6): 537–544. doi:10.1016/0195-6698(95)90035-7. ISSN 0195-6698.

This mathematics-related article is a stub. You can help EverybodyWiki by expanding it. |

This article "Cameron–Fon-Der-Flaass IBIS Theorem" is from Wikipedia. The list of its authors can be seen in its historical and/or the page Edithistory:Cameron–Fon-Der-Flaass IBIS Theorem. Articles copied from Draft Namespace on Wikipedia could be seen on the Draft Namespace of Wikipedia and not main one.