Geodesic
Integral sets and Cayley graphs of finite groups
The electronic journal of combinatorics, Tome 19 (2012) no. 1
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Integral sets of finite groups are discussed and related to the integral Cayley graphs. The Boolean algebra of integral sets are determined for dihedral group and finite abelian groups. We characterize the finite abelian groups as those finite groups where the Boolean algebra generated by integral sets equals the Boolean algebra generated by its subgroups.
DOI : 10.37236/2053
Classification : 05C50, 20C99, 20K01
Mots-clés : Boolean algebra of integral sets, dihedral group, finite abelian groups 
@article{10_37236_2053,
     author = {Roger C. Alperin and Brian L. Peterson},
     title = {Integral sets and {Cayley} graphs of finite groups},
     journal = {The electronic journal of combinatorics},
     year = {2012},
     volume = {19},
     number = {1},
     doi = {10.37236/2053},
     zbl = {1243.05143},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/2053/}
}
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Roger C. Alperin; Brian L. Peterson. Integral sets and Cayley graphs of finite groups. The electronic journal of combinatorics, Tome 19 (2012) no. 1. doi: 10.37236/2053

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