GENUS OF COMMUTING CONJUGACY CLASS GRAPH OF CERTAIN FINITE GROUPS

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Bhowal Parthajit; Nath Rajat Kanti

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ISSN: 2588-4824

Journal Paper

Paper Information

Journal: Algebraic structures and their applications Year:2022 | Volume:9 | Issue:1 Page(s): 93-108

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Title

GENUS OF COMMUTING CONJUGACY CLASS GRAPH OF CERTAIN FINITE GROUPS

Author(s)

Bhowal Parthajit | Nath Rajat Kanti | Issue Writer Certificate

Keywords

Commuting conjugacy class graph

Genus

Finite group

Abstract

For a non-abelian group G, its Commuting conjugacy class graph CCC(G) is a simple undirected graph whose vertex set is the set of conjugacy classes of the non-central elements of G and two distinct vertices xG and yG are adjacent if there exists some elements x ′,∈,xG and y ′,∈,yG such that x ′,y ′,= y ′,x ′, . In this paper we compute the Genus of CCC(G) for six well-known classes of non-abelian two-generated groups (viz. D2n, SD8n, Q4m, V8n, U(n, m) and G(p, m, n)) and determine whether CCC(G) for these groups are planar, toroidal, doubletoroidal or triple-toroidal.

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APA: Copy

Bhowal, Parthajit, & Nath, Rajat Kanti. (2022). GENUS OF COMMUTING CONJUGACY CLASS GRAPH OF CERTAIN FINITE GROUPS. ALGEBRAIC STRUCTURES AND THEIR APPLICATIONS, 9(1), 93-108. SID. https://sid.ir/paper/1059355/en

Vancouver: Copy

Bhowal Parthajit, Nath Rajat Kanti. GENUS OF COMMUTING CONJUGACY CLASS GRAPH OF CERTAIN FINITE GROUPS. ALGEBRAIC STRUCTURES AND THEIR APPLICATIONS[Internet]. 2022;9(1):93-108. Available from: https://sid.ir/paper/1059355/en

IEEE: Copy

Parthajit Bhowal, and Rajat Kanti Nath, “GENUS OF COMMUTING CONJUGACY CLASS GRAPH OF CERTAIN FINITE GROUPS,” ALGEBRAIC STRUCTURES AND THEIR APPLICATIONS, vol. 9, no. 1, pp. 93–108, 2022, [Online]. Available: https://sid.ir/paper/1059355/en

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