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math.GR2021
Saxl graphs of primitive affine groups with sporadic point stabilisers
Melissa Lee, Tomasz Popiel
Let be a permutation group on a set . A base for is a subset of whose pointwise stabiliser is trivial, and the base size of is the minimal cardinality of a base.…
math.GR2021
, and are recognisable by their prime graphs
Melissa Lee, Tomasz Popiel
The prime graph, or Gruenberg--Kegel graph, of a finite group is the graph whose vertices are the prime divisors of , and whose edges are the pairs for wh…
math.GR2021
On the classification of extremely primitive affine groups
Timothy C. Burness, Melissa Lee
Let be a finite non-regular primitive permutation group on a set with point stabiliser . Then is said to be extremely primitive if acts primitively on each o…