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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/170878In 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.htmlGroup Theory20C15A group with three real irreducible characters: answering a question of Moreto and Navarrotext