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A Character Condition for Quadruple Transitivity
Joint Authors
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-08-23
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
Let G be a permutation group of degree n viewed as a subgroup of the symmetric group S≅Sn.
We show that if the irreducible character of S corresponding to the partition of n into subsets of sizes n−2 and 2, that is, to say the character often denoted by χ(n−2,2), remains irreducible when restricted to G, then n = 4, 5 or 9 and G≅S3, A5, or PΣL2(8), respectively, or G is 4-transitive.
American Psychological Association (APA)
Aldhafeeri, S.& Curtis, R. T.. 2011. A Character Condition for Quadruple Transitivity. International Journal of Mathematics and Mathematical Sciences،Vol. 2011, no. 2011, pp.1-13.
https://search.emarefa.net/detail/BIM-496313
Modern Language Association (MLA)
Aldhafeeri, S.& Curtis, R. T.. A Character Condition for Quadruple Transitivity. International Journal of Mathematics and Mathematical Sciences No. 2011 (2011), pp.1-13.
https://search.emarefa.net/detail/BIM-496313
American Medical Association (AMA)
Aldhafeeri, S.& Curtis, R. T.. A Character Condition for Quadruple Transitivity. International Journal of Mathematics and Mathematical Sciences. 2011. Vol. 2011, no. 2011, pp.1-13.
https://search.emarefa.net/detail/BIM-496313
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-496313