Symmetric Groups and Conjugacy Classes
Journal of Group Theory, Vol: 11, Issue: 3, Page: 371-379
2008
- 503Usage
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Example: if you select the 1-year option for an article published in 2019 and a metric category shows 90%, that means that the article or review is performing better than 90% of the other articles/reviews published in that journal in 2019. If you select the 3-year option for the same article published in 2019 and the metric category shows 90%, that means that the article or review is performing better than 90% of the other articles/reviews published in that journal in 2019, 2018 and 2017.
Citation Benchmarking is provided by Scopus and SciVal and is different from the metrics context provided by PlumX Metrics.
Metrics Details
- Usage503
- Downloads466
- Abstract Views37
Article Description
Let S, be the symmetric group of degree n where n > 5. Given any non-trivial alpha,beta is an element of S-n, we prove that the product alpha(Sn)beta(Sn) of the conjugacy classes alpha(Sn) and beta(Sn) is never a conjugacy class. Furthermore, if n is odd and not a multiple of three, then alpha(Sn)beta(Sn) is the union of at least three distinct conjugacy classes. We also describe the elements alpha,beta is an element of S-n in the case when alpha(Sn)beta(Sn) is the union of exactly two distinct conjugacy classes.
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