Some word maps that are non‐surjective on infinitely many finite simple groups

Some word maps that are non‐surjective on infinitely many finite simple groups

We provide the first examples of words in the free group of rank 2 that are not proper powers and for which the corresponding word maps are non‐surjective on an infinite family of finite non‐abelian simple groups.

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Veröffentlicht in:The Bulletin of the London Mathematical Society 2013-10, Vol.45 (5), p.907-910
Hauptverfasser: Jambor, Sebastian, Liebeck, Martin W., O'Brien, E. A.
Format: Artikel
Sprache:eng
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Zusammenfassung:We provide the first examples of words in the free group of rank 2 that are not proper powers and for which the corresponding word maps are non‐surjective on an infinite family of finite non‐abelian simple groups.
ISSN:0024-6093
1469-2120
DOI:10.1112/blms/bdt010