J. Korean Math. Soc. 2007; 44(6): 1197-1211
Printed November 1, 2007
Copyright © The Korean Mathematical Society.
Peter Dongjun Yom
Bronx Community College of CUNY
In this article, we characterize the quasi-isomorphism classes of bracket groups in terms of vertices using vertex-switches. In particular, if two bracket groups are quasi-isomorphic, then there is a sequence of vertex-switches transforming a collection of vertices of a group to a collection of vertices of the other group.
Keywords: Butler groups, $\mathcal{B}^{(1)}$-groups, quasi-decomposable bracket groups, quasi-isomorphisms
MSC numbers: Primary 20K15
2012; 49(3): 493-502
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