Prime graphs of solvable groups

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Date

2020-8

Author

Ulvi , Muhammed İkbal

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If $G$ is a finite group, its prime graph $Gamma_G$ is constructed as follows: the vertices are the primes dividing the order of $G$, two vertices $p$ and $q$ are joined by an edge if and only if $G$ contains an element of order $pq$. This thesis is mainly a survey that gives some important results on the prime graphs of solvable groups by presenting their proofs in full detail.

Subject Keywords

Prime graph, Solvable group, Frobenius group, Fitting length

URI

https://hdl.handle.net/11511/69008

Collections

Graduate School of Natural and Applied Sciences, Thesis

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Citation Formats

M. İ. Ulvi, “Prime graphs of solvable groups,” M.S. - Master of Science, Middle East Technical University, 2020.