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Proceedings of the American Mathematical Society

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Simplicial Schreier systems and the commutator subgroup of the free group on the circle


Author: Sabah A. Ghullam
Journal: Proc. Amer. Math. Soc. 68 (1978), 111-116
MSC: Primary 22A99; Secondary 20E05
DOI: https://doi.org/10.1090/S0002-9939-1978-0507217-4
MathSciNet review: 0507217
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Abstract: It is shown that the commutator subgroup of the free simplicial group on the circle has a simplicial Schreier system and is a free simplicial group on a pointed simplicial set.


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DOI: https://doi.org/10.1090/S0002-9939-1978-0507217-4
Keywords: Free simplicial group, Schreier system
Article copyright: © Copyright 1978 American Mathematical Society