A group with three real irreducible characters: answering a question of Moreto and Navarro
Abstract
Description
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.
The character table (computed via MAGMA) for the group constructed in this paper can be found at my website: http://www.math.kent.edu/~lewis/pubs.html
The character table (computed via MAGMA) for the group constructed in this paper can be found at my website: http://www.math.kent.edu/~lewis/pubs.html