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- W2009505680 abstract "Let G be a finite non-abelian group and let be a set of elements of G. Let A be the set of commuting elements in , i.e A = {v ∈ : vg = gv,g ∈ G}. In this paper, we extend the work on centralizer graph by defining a new graph called the isotropy graph, denoted as iso. The vertices of this graph are proper isotropy groups. In other words, |V ( iso)| = StabG()−A, where StabG() is the number of stabilizers under group action of G on and A is the number of improper isotropy groups under group action on a set. Two vertices are connected by an edge if their cardinalities are identical." @default.
- W2009505680 created "2016-06-24" @default.
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- W2009505680 date "2015-01-27" @default.
- W2009505680 modified "2023-09-25" @default.
- W2009505680 title "THE ISOTROPY GRAPH OF FINITE NON-ABELIAN GROUPS" @default.
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- W2009505680 doi "https://doi.org/10.12732/iejpam.v9i1.3" @default.
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