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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


IMPACT FACTOR increased in 2015: 0.505

SCImago Journal Rank (SJR) 2015: 0.748
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Impact per Publication (IPP) 2015: 0.412

Mathematical Citation Quotient (MCQ) 2015: 0.45

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ISSN
1435-4446
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Anomalous behavior of the Hawaiian earring group

G. Conner1 / K. Spencer2

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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

Received:
2 October, 2003
Revised:
24 January, 2004
Published Online:
2005-07-27

Abstract

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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