Description of the first disc Δ1(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 Δ1(t) of C(...
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| Main Authors: | , |
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| Format: | Conference or Workshop Item |
| Language: | English |
| Published: |
AIP Publishing
2016
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| Online Access: | http://psasir.upm.edu.my/id/eprint/57173/1/Description%20of%20the%20first%20disc%20%CE%941%28t%29%20of%20the%20commuting%20graph%20C%28G%2C%20X%29%20for%20elements%20of%20order%20three%20in%20symmetric%20groups.pdf http://psasir.upm.edu.my/id/eprint/57173/ http://aip.scitation.org/doi/abs/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 Δ1(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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