A group with three real irreducible characters: answering a question of Moreto and Navarro

Mathematics – Group Theory

Scientific paper

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The character table (computed via MAGMA) for the group constructed in this paper can be found at my website: http://www.math

Scientific paper

In this paper, we construct a group with three real irreducible characters
whose Sylow 2-subgroup is an iterated central extension of a Suzuki 2-group.
This answers a question raised by Moreto and Navarro who asked whether such a
group exists.

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