Strongly base-two groups
TC Burness, RM Guralnick - Vietnam Journal of Mathematics, 2023 - Springer
Let G be a finite group, let H be a core-free subgroup and let b (G, H) denote the base size
for the action of G on G/H. Let α (G) be the number of conjugacy classes of core-free …
for the action of G on G/H. Let α (G) be the number of conjugacy classes of core-free …
Extremely primitive groups and linear spaces
A finite non-regular primitive permutation group G is extremely primitive if a point stabiliser
acts primitively on each of its nontrivial orbits. Such groups have been studied for almost a …
acts primitively on each of its nontrivial orbits. Such groups have been studied for almost a …
Extremely line-primitive automorphism groups of finite linear spaces
W Zhang, S Zhou - Designs, Codes and Cryptography, 2023 - Springer
A primitive non-regular permutation group is called extremely primitive if a point stabilizer
acts primitively on each of its nontrivial orbits. This notation was first introduced in the work of …
acts primitively on each of its nontrivial orbits. This notation was first introduced in the work of …