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ON THE GENUS OF THE COMMUTING GRAPHS OF FINITE NON-ABELIAN GROUPS

Year 2016, , 91 - 109, 01.06.2016
https://doi.org/10.24330/ieja.266195

Abstract

The commuting graph of a non-abelian group is a simple graph in
which the vertices are the non-central elements of the group, and two distinct
vertices are adjacent if and only if they commute. In this paper, we determine
(up to isomorphism) all finite non-abelian groups whose commuting graphs are
acyclic, planar or toroidal. We also derive explicit formulas for the genus of
the commuting graphs of some well-known class of finite non-abelian groups,
and show that, every collection of isomorphism classes of finite non-abelian
groups whose commuting graphs have the same genus is finite.

Year 2016, , 91 - 109, 01.06.2016
https://doi.org/10.24330/ieja.266195

Abstract

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Details

Other ID JA57HS68AS
Journal Section Articles
Authors

Ashish Kumar Das This is me

Deiborlang Nongsiang This is me

Publication Date June 1, 2016
Published in Issue Year 2016

Cite

APA Das, A. K., & Nongsiang, D. (2016). ON THE GENUS OF THE COMMUTING GRAPHS OF FINITE NON-ABELIAN GROUPS. International Electronic Journal of Algebra, 19(19), 91-109. https://doi.org/10.24330/ieja.266195
AMA Das AK, Nongsiang D. ON THE GENUS OF THE COMMUTING GRAPHS OF FINITE NON-ABELIAN GROUPS. IEJA. June 2016;19(19):91-109. doi:10.24330/ieja.266195
Chicago Das, Ashish Kumar, and Deiborlang Nongsiang. “ON THE GENUS OF THE COMMUTING GRAPHS OF FINITE NON-ABELIAN GROUPS”. International Electronic Journal of Algebra 19, no. 19 (June 2016): 91-109. https://doi.org/10.24330/ieja.266195.
EndNote Das AK, Nongsiang D (June 1, 2016) ON THE GENUS OF THE COMMUTING GRAPHS OF FINITE NON-ABELIAN GROUPS. International Electronic Journal of Algebra 19 19 91–109.
IEEE A. K. Das and D. Nongsiang, “ON THE GENUS OF THE COMMUTING GRAPHS OF FINITE NON-ABELIAN GROUPS”, IEJA, vol. 19, no. 19, pp. 91–109, 2016, doi: 10.24330/ieja.266195.
ISNAD Das, Ashish Kumar - Nongsiang, Deiborlang. “ON THE GENUS OF THE COMMUTING GRAPHS OF FINITE NON-ABELIAN GROUPS”. International Electronic Journal of Algebra 19/19 (June 2016), 91-109. https://doi.org/10.24330/ieja.266195.
JAMA Das AK, Nongsiang D. ON THE GENUS OF THE COMMUTING GRAPHS OF FINITE NON-ABELIAN GROUPS. IEJA. 2016;19:91–109.
MLA Das, Ashish Kumar and Deiborlang Nongsiang. “ON THE GENUS OF THE COMMUTING GRAPHS OF FINITE NON-ABELIAN GROUPS”. International Electronic Journal of Algebra, vol. 19, no. 19, 2016, pp. 91-109, doi:10.24330/ieja.266195.
Vancouver Das AK, Nongsiang D. ON THE GENUS OF THE COMMUTING GRAPHS OF FINITE NON-ABELIAN GROUPS. IEJA. 2016;19(19):91-109.

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