A proof of Pyber's base size conjecture
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DOI: 10.1016/j.aim.2018.04.009
Abstract: Abstract Building on earlier papers of several authors, we establish that there exists a universal constant c > 0 such that the minimal base size b ( G ) of a primitive permutation group G… read more here.
Keywords: base size; proof pyber; base; pyber base ... See more keywords
On the base size of the symmetric and the alternating group acting on partitions
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DOI: 10.1016/j.jalgebra.2021.08.009
Abstract: Abstract Given three positive integers n , a , b with n = a b , we determine the base size of the symmetric group and of the alternating group of degree n in their… read more here.
Keywords: size symmetric; alternating group; group; base size ... See more keywords
Bounds for finite semiprimitive permutation groups: order, base size, and minimal degree
Sign Up to like & getrecommendations! Published in 2020 at "Proceedings of the Edinburgh Mathematical Society"
DOI: 10.1017/s0013091520000346
Abstract: Abstract In this paper, we study finite semiprimitive permutation groups, that is, groups in which each normal subgroup is transitive or semiregular. These groups have recently been investigated in terms of their abstract structure, in… read more here.
Keywords: order base; base size; semiprimitive permutation; finite semiprimitive ... See more keywords