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

2008/10/07 by Mark L. Lewis, Lewis, Mark L.
Engineering · Mathematics · Medicine · #20C15 #Chronic Lymphocytic Leukemia Research #FOS: Mathematics #Finite Group Theory Research #Group Theory (math.GR) #graph theory and CDMA systems #math.GR #msc:20C15

paper · pdf · doi:10.48550/arxiv.0810.1176

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

arxiv created 2008/10/07 · openalex publication_date 2008/10/07 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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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