ON GRAPH REPRESENTATION FOR CO-DIAGONAL GROUPS

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Published: Jun 1, 1992
DOI: https://doi.org/10.5556/j.tkjm.23.1992.4530
Keywords:
co-diagonal group torsion-free abelian group diagonal embedding co-representing graphs

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WU-YEN LEE
Department of Mathematics, Tamkang University, Taipei, Taiwan 25137.

Abstract




For a co-diagonal Butler group G with co-representing graph, we examine the conditions under which pure subgroups and torsion-free quotients of G have quasi-co-representing graphs.




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How to Cite
LEE, W.-Y. (1992). ON GRAPH REPRESENTATION FOR CO-DIAGONAL GROUPS. Tamkang Journal of Mathematics, 23(2), 81–85. https://doi.org/10.5556/j.tkjm.23.1992.4530
Issue
Vol. 23 No. 2 (1992)
Section
Papers
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References

W . Lee, "Co-diagonal Butler groups", Chinese Journal of Mathematics 17 (1989) , 259- 271.

W . Lee, "Graph representation for co-diagonal Butler groups", to appear.

D. Arnold and C. Vinsonhaler, "Pure subgroups of finite rank completely decomposable groups II", Abelian Group Theory, Lecture Notes in Math., Vol. 1006, Springer-Verlag, Berlin and New York(1983), 97-143.

M. C. R. Butler, "A class of torswn-free abelian groups of finite rank", Proc. London Math. Soc. 15 (1965), 680-698.

F. Richman "An extension of the theory of completely decomposable tors10n-free abelian groups", Trans. Amer. Math. Soc. 279 (1983), 175-185.