4-REGULAR PRIME GRAPHS OF NONSOLVABLE GROUPS

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Kasyoki Donnie Munyao; Oleche Paul Odhiambo

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Journal Paper

Paper Information

Journal: INTERNATIONAL JOURNAL OF GROUP THEORY Year:2020 | Volume:9 | Issue:3 Page(s): 193-222

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Information Journal Paper

Title

4-REGULAR PRIME GRAPHS OF NONSOLVABLE GROUPS

Author(s)

Kasyoki Donnie Munyao | Oleche Paul Odhiambo | Issue Writer Certificate

Keywords

Nonsolvable Groups

Simple Groups

Character Degree

Graphs

Abstract

Let G be a , nite group and cd(G) denote the Character Degree set for G. The prime graph ∆, (G) is a simple graph whose vertex set consists of prime divisors of elements in cd(G), denoted , (G). Two primes p,q 2 , (G) are adjacent in ∆, (G) if and only if pq j a for some a 2 cd(G). We determine which simple 4-regular Graphs occur as prime Graphs for some , nite nonsolvable group.

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APA: Copy

Kasyoki, Donnie Munyao, & Oleche, Paul Odhiambo. (2020). 4-REGULAR PRIME GRAPHS OF NONSOLVABLE GROUPS. INTERNATIONAL JOURNAL OF GROUP THEORY, 9(3), 193-222. SID. https://sid.ir/paper/1003777/en

Vancouver: Copy

Kasyoki Donnie Munyao, Oleche Paul Odhiambo. 4-REGULAR PRIME GRAPHS OF NONSOLVABLE GROUPS. INTERNATIONAL JOURNAL OF GROUP THEORY[Internet]. 2020;9(3):193-222. Available from: https://sid.ir/paper/1003777/en

IEEE: Copy

Donnie Munyao Kasyoki, and Paul Odhiambo Oleche, “4-REGULAR PRIME GRAPHS OF NONSOLVABLE GROUPS,” INTERNATIONAL JOURNAL OF GROUP THEORY, vol. 9, no. 3, pp. 193–222, 2020, [Online]. Available: https://sid.ir/paper/1003777/en

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