A RELATIONSHIP BETWEEN VERTICES AND QUASI-ISOMORPHISMS FOR A CLASS OF BRACKET GROUPS

Title & Authors
A RELATIONSHIP BETWEEN VERTICES AND QUASI-ISOMORPHISMS FOR A CLASS OF BRACKET GROUPS
Yom, Peter Dong-Jun;

Abstract
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;$\small{\mathbf{B}^{(1)}-groups}$;quasi-decomposable bracket groups;quasi-isomorphisms;
Language
English
Cited by
1.
ON QUASI-REPRESENTING GRAPHS FOR A CLASS OF B(1)-GROUPS, Journal of the Korean Mathematical Society, 2012, 49, 3, 493
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