Akbari–Ashrafi conjecture on connected reduced power graphs of simple groups

Let GG be a non-abelian simple group. The Akbari–Ashrafi conjecture. The reduced power graph of GG is connected only if GG is isomorphic to an alternating group AnA_n. This conjecture concerns connectivity in reduced power graphs; the supplied context does not state whether it has been resolved.

Sources & referencesView supporting material

Primary source

Yilong Yang, “Reduced Power Graphs of PGL_3(F_q)”, arXiv:2306.13314 (2023).

Additional references

2 papers in this index state this conjecture (2022–2023). The statement above is taken from the most recent of them; the others are arXiv:2207.04404.

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