This article is cited in 3 papers

Counterexamples to two conjectures in the Kourovka notebook

S. V. Skresanov<sup>ab

a</sup> Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
^b Novosibirsk State University

Abstract: Here we give counterexamples to two conjectures in the [Kourovka Notebook, Quest. 12.78, 19.67; http://www.math.nsc.ru/˜ alglog/19tkt.pdf]. The first conjecture concerns character theory of finite groups, and the second one regards permutation group theory.

Keywords: finite group, character, permutation group.

UDC: 512.547.2+512.542.7

Received: 03.04.2019
Revised: 24.09.2019

DOI: 10.33048/alglog.2019.58.306

 English version: Algebra and Logic, 2019, 58:3, 249–253

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