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- Title
ON THE BASE SIZE OF A TRANSITIVE GROUP WITH SOLVABLE POINT STABILIZER.
- Authors
VDOVIN, E. P.; Issacs, I. M.
- Abstract
We prove that the base size of a transitive group G with solvable point stabilizer and with trivial solvable radical is not greater than k provided the same statement holds for the group of G-induced automorphisms of each nonabelian composition factor of G.
- Subjects
GROUP theory; FINITE simple groups; MULTIPLY transitive groups; AUTOMORPHISMS; SOLVABLE groups; NONABELIAN groups; MATHEMATICAL proofs
- Publication
Journal of Algebra & Its Applications, 2012, Vol 11, Issue 1, p1250015-1
- ISSN
0219-4988
- Publication type
Article
- DOI
10.1142/S0219498811005403