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Journal of Group Theory

Editor-in-Chief: Parker, Christopher W. / Wilson, John S.

Managing Editor: Howie, James / Khukhro, Evgenii I. / Kramer, Linus

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Anomalous behavior of the Hawaiian earring group

G. Conner1 / K. Spencer2



Citation Information: Journal of Group Theory. Volume 8, Issue 2, Pages 223–227, ISSN (Online) 1435-4446, ISSN (Print) 1433-5883, DOI: 10.1515/jgth.2005.8.2.223, July 2005

Publication History

2 October, 2003
24 January, 2004
Published Online:


Let H be the classical Hawaiian earring, and let G be its fundamental group, the Hawaiian earring group. We show that the structure of homomorphisms from the Hawaiian earring group to finite groups behaves in anomalous ways. In particular, there are uncountably many surjective homomorphisms of the Hawaiian earring group to any finite group which cannot be represented by continuous maps.

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