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On counterexamples to the Hughes conjecture

Abstract:

In 1957 D.R. Hughes published the following problem in group theory. Let G be a group and p a prime. Define Hp(G) to be the subgroup of G generated by all the elements of G which do not have order p. Is the following conjecture true: either Hp(G)=1, Hp(G)=G, or [G:Hp(G)]=p? After various classes of groups...

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Publication status:
Published
Peer review status:
Peer reviewed
Version:
Publisher's version

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Publisher copy:
10.1016/j.jalgebra.2009.04.011

Authors


George Havas More by this author
More by this author
Institution:
University of Oxford
Oxford college:
Christ Church
Department:
Mathematical,Physical & Life Sciences Division - Mathematical Institute
Publisher:
Elsevier Inc. Publisher's website
Journal:
Journal of Algebra Journal website
Volume:
322
Issue:
3
Pages:
791-801
Publication date:
2009-08-05
DOI:
ISSN:
0021-8693
URN:
uuid:da0ebbde-a1c6-41fa-9e24-d9a23d8d0316
Local pid:
ora:8583

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