| dc.contributor.author | Donnie Munyao Kasyoki, Paul Odhiambo Oleche | |
| dc.date.accessioned | 2020-08-25T08:18:13Z | |
| dc.date.available | 2020-08-25T08:18:13Z | |
| dc.date.issued | 2019-01-11 | |
| dc.identifier.uri | https://repository.maseno.ac.ke/handle/123456789/2331 | |
| dc.description.abstract | Let G be a finite 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 ρ(G). Two primes p, q ∈
ρ(G) are adjacent in ∆(G) if and only if pq|a for some a ∈ cd(G). We
determine which simple 4-regular graphs occur as prime graphs for some
finite nonsolvable group. | en_US |
| dc.publisher | CORNELL UNIVERSITY | en_US |
| dc.subject | character degree, nonsolvable group, simple group | en_US |
| dc.title | 4-Regular prime graphs of nonsolvable groups | en_US |
| dc.type | Article | en_US |
