Characterization of simple K₄-groups

Abstract

In this paper, we prove that a group G is isomorphic to M, where M is a simple K₄-group, if and only if the following hold: (1) |G| = |M|, (2) nse(G) = nse(M).

Keywords

Finite group / set of sizes of elements with same order / solvable group / element order

References

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