Anatoly Kondrat'evKrsovskii Institute of Mathematics and Mechanics UB RAS · Algebra and Topology Department
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Citations since 2016
25 Research Items
We investigete the normal structure of a finite group with respect to some arithmetical restrictions to its subgroups.
Let G be a finite group. The set of all prime divisors of the order of G is called the prime spectrum of G. The Grunberg-Kegel graph (or the prime graph) GK(G) of a group G is the graph whose vertex set is the prime spectrum of G and two distinct vertices are adjacent if and only if their product is an order of some element of G. We investigate some problems concerning various coincidences of Gruenberg-Kegel graphs of non-isomorphic finite groups and realizability of a finite graph as the Gruenberg-Kegel graph of a finite group.