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Symmetric groups and conjugacy classes
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Adan-Bante, Edith and Verrill, Helena (2008) Symmetric groups and conjugacy classes. Journal of Group Theory, Vol.11 (No.3). pp. 371-379. doi:10.1515/JGT.2008.021 ISSN 1433-5883.
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Official URL: http://dx.doi.org/10.1515/JGT.2008.021
Abstract
Let S n be the symmetric group of degree n where n > 5. Given any non-trivial , we prove that the product of the conjugacy classes and is never a conjugacy class. Furthermore, if n is odd and not a multiple of three, then is the union of at least three distinct conjugacy classes. We also describe the elements in the case when is the union of exactly two distinct conjugacy classes.
Item Type: | Journal Article | ||||
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Journal or Publication Title: | Journal of Group Theory | ||||
Publisher: | Walter de Gruyter & Co | ||||
ISSN: | 1433-5883 | ||||
Official Date: | 2008 | ||||
Dates: |
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Volume: | Vol.11 | ||||
Number: | No.3 | ||||
Page Range: | pp. 371-379 | ||||
DOI: | 10.1515/JGT.2008.021 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access |
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