A measuring argument for finite permutation groups |
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Authors: | Email author" target="_blank">Avi?GorenEmail author |
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Institution: | (1) School of Mathematical Sciences, Raymond and Beverly Sackler Faculty of Exact Sciences, Tel Aviv University, 69978 Tel Aviv, Israel |
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Abstract: | LetG be a finite transitive permutation group on a finite setS. LetA be a nonempty subset ofS and denote the pointwise stabilizer ofA inG byC
G
(A). Our main result is the following inequality: G :C
G
(A)]≥|G||A|/|S|.
This paper is a part of the author’s Ph.D. thesis research, carried out at Tel Aviv University under the supervision of Professor
Marcel Herzog. |
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Keywords: | |
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