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http://dx.doi.org/10.4134/JKMS.2012.49.3.493

ON QUASI-REPRESENTING GRAPHS FOR A CLASS OF B(1)-GROUPS  

Yom, Peter Dong-Jun (Department of Mathematics and Computer Science Bronx Community College of CUNY)
Publication Information
Journal of the Korean Mathematical Society / v.49, no.3, 2012 , pp. 493-502 More about this Journal
Abstract
In this article, we give a characterization theorem for a class of corank-1 Butler groups of the form $\mathcal{G}$($A_1$, ${\ldots}$, $A_n$). In particular, two groups $G$ and $H$ are quasi-isomorphic if and only if there is a label-preserving bijection ${\phi}$ from the edges of $T$ to the edges of $U$ such that $S$ is a circuit in T if and only if ${\phi}(S)$ is a circuit in $U$, where $T$, $U$ are quasi-representing graphs for $G$, $H$ respectively.
Keywords
Butler groups; $\mathcal{B}^{(1)}$-groups; quasi-representing graphs; quasi-isomorphisms;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)  (Related Records In Web of Science)
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