THE MINIMAL BASE SIZE OF PRIMITIVE SOLVABLE PERMUTATION-GROUPS

Authors
SERESS A
Citation
A. Seress, THE MINIMAL BASE SIZE OF PRIMITIVE SOLVABLE PERMUTATION-GROUPS, Journal of the London Mathematical Society, 53, 1996, pp. 243-255
Citations number
20
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Journal of the London Mathematical Society → ACNP
ISSN journal
00246107
Volume
53
Year of publication
1996
Part
2
Pages
243 - 255
Database
ISI
SICI code
0024-6107(1996)53:<243:TMBSOP>2.0.ZU;2-U
Abstract
A base of a permutation group G is a sequence B of points from the per mutation domain such that only the identity of G fixes B pointwise. An swering a question of Pyber, we prove that all primitive solvable perm utation groups have a base of size at most four.