Geodesic
On the center of a graph defined by Schmidt subgroups of a finite group
Problemy fiziki, matematiki i tehniki, no. 4 (2022), pp. 73-79

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A Schmidt group is a non-nilpotent group whose proper subgroups are nilpotent. Schmidt graph of a finite group $G$ is the prime graph with the vertex set $\pi(G)$ in which $(p,q)$ is an edge if and only if $G$ has a Schmidt subgroup whose order is divisible by $pq$. In the paper the relationship of Schmidt graph properties with group properties is studied.
Keywords: finite group, prime graph, Schmidt group, Schmidt graph
Mots-clés : soluble graph, centre of graph. 
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     author = {P. V. Bychkov and S. F. Kamornikov and V. N. Tyutyanov},
     title = {On the center of a graph defined by {Schmidt} subgroups of a finite group},
     journal = {Problemy fiziki, matematiki i tehniki},
     pages = {73--79},
     publisher = {mathdoc},
     number = {4},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PFMT_2022_4_a11/}
}
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P. V. Bychkov; S. F. Kamornikov; V. N. Tyutyanov. On the center of a graph defined by Schmidt subgroups of a finite group. Problemy fiziki, matematiki i tehniki, no. 4 (2022), pp. 73-79. http://geodesic.mathdoc.fr/item/PFMT_2022_4_a11/