Title of article
Cyclic Quotients of Transitive Groups
Author/Authors
Robert M. Guralnick، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2000
Pages
26
From page
507
To page
532
Abstract
Let A be a transitive subgroup of Sn. We show that the largest cyclic quotient of A has order at most n. This can be interpreted as an equivalent result about extensions of constants in the Galois closure of a covering of curves over a finite field. We also prove that the point stabilizer in a finite primitive permutation group always has a faithful orbit.
Keywords
Transitive groups , cyclic quotients , coverings of curves , primitive groups , Galois theory , field extensions , procyclic fields , extension of constants , Permutation groups , point stabilizer
Journal title
Journal of Algebra
Serial Year
2000
Journal title
Journal of Algebra
Record number
695244
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