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An exotic presentation of Q_28

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arxiv 1901.10786 v4 pith:LT5XWSGK submitted 2019-01-30 math.AT math.GR

Wajid Mannan , Tomasz Popiel This is my paper · ORCID
classification math.ATmath.GR
keywords grouppresentationsquaternionexoticfamilygroupshomotopyintroduce
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We introduce a new family of presentations for the quaternion groups and show that for the quaternion group of order 28, one of these presentations has non-standard second homotopy group.

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  1. Connected sum decompositions of high-dimensional manifolds

    math.GT 2019-09 conditional novelty 6.0 of 10

    In dimensions n at least 4, S^2 x S^(n-2) is not cancellable, so connected sum decomposition is not unique; for simply connected manifolds the same failure is claimed for n at least 17.

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