Counterexamples to Two Conjectures in the Kourovka Notebook


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Abstract

Here we give counterexamples to two conjectures in The Kourovka Notebook, Questions 12.78 and 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.

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S. V. Skresanov

Novosibirsk State University; Sobolev Institute of Mathematics

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Email: s.skresanov@g.nsu.ru
Russian Federation, ul. Pirogova 1, Novosibirsk, 630090; pr. Akad. Koptyuga 4, Novosibirsk, 630090

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