Quasirandom groups

GPTKB entity

Statements (23)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:application gptkb:Theoretical_computer_science
Combinatorics
Additive combinatorics
gptkbp:characterizedBy Lack of low-dimensional representations
Uniformity properties
gptkbp:definedIn Minimum dimension of nontrivial irreducible representation
gptkbp:example gptkb:Alternating_group
Special linear group SL(2, F_p) for large p
gptkbp:field gptkb:Mathematics
gptkb:Group_theory
https://www.w3.org/2000/01/rdf-schema#label Quasirandom groups
gptkbp:introduced gptkb:Timothy_Gowers
gptkbp:notablePublication gptkb:Quasirandom_Groups_(Gowers,_2008)
gptkbp:property Mixing properties
No large abelian subgroups
Small eigenvalues of Cayley graphs
gptkbp:relatedTo gptkb:Representation_theory
Expander graphs
Random-like groups
gptkbp:studiedIn Finite group theory
gptkbp:bfsParent gptkb:Timothy_Gowers
gptkbp:bfsLayer 5