Primitive permutation groups as products of point stabilizers

详细信息    查看全文

• 作者：Martino Garonzi^a ; ¹ ; ^{mgaronzi@gmail.com" class="auth_mail" title="E-mail the corresponding author} ; Dan Levy^b ; ^{danlevy@mta.ac.il" class="auth_mail" title="E-mail the corresponding author} ; Attila Maró ; ti^c ; ² ; ^{maroti.attila@renyi.mta.hu" class="auth_mail" title="E-mail the corresponding author} ; Iulian I. Simion^d ; ³ ; ^{iulian.simion@math.unipd.it" class="auth_mail" title="E-mail the corresponding author}
• 关键词：20B15 ; 20D40
• 刊名：Journal of Algebra
• 出版年：2017
• 出版时间：1 February 2017
• 年：2017
• 卷：471
• 期：Complete
• 页码：399-408
• 全文大小：315 K

文摘

We prove that there exists a universal constant c such that any finite primitive permutation group of degree n   with a non-trivial point stabilizer is a product of no more than class="mathmlsrc">class="formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0021869316303453&_mathId=si1.gif&_user=111111111&_pii=S0021869316303453&_rdoc=1&_issn=00218693&md5=34923039bf178b4af3b9c8c40d458459" title="Click to view the MathML source">clog⁡nclass="mathContainer hidden">class="mathCode">$c\log n$ point stabilizers.