Compressive of the first disc Δı (t) of the commuting graph C (G, X) for elements of order three in symmetric groups
The commuting graph C (G, X), where G is a finite group and X is a subset of G, is the graph whose vertex set is X and two distinct elements of X being joined by an edge whenever they commute in the group G. Here the CG (t) orbit representatives and the number of elements in the first disc Δı (t) o...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
AIP Publishing
2016
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| Online Access: | http://psasir.upm.edu.my/id/eprint/53884/1/Compressive%20of%20the%20first%20disc%20%CE%94%C4%B1%20%28t%29%20of%20the%20commuting%20graph%20C%20%28G%2C%20X%29%20for%20elements%20of%20order%20three%20in%20symmetric%20groups.pdf http://psasir.upm.edu.my/id/eprint/53884/ https://aip.scitation.org/doi/pdf/10.1063/1.4952544 |
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| Summary: | The commuting graph C (G, X), where G is a finite group and X is a subset of G, is the graph whose vertex set is X and two distinct elements of X being joined by an edge whenever they commute in the group G. Here the CG (t) orbit representatives and the number of elements in the first disc Δı (t) of C (G, X), is studied when G is a symmetric group of degree n, Sym (n) and X is a conjugacy class of elements of order three. |
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