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In this article, we give a characterization theorem for a class of corank-1 Butler groups of the form G(A1,...,An). In particular, two groups G and H are quasi-isomorphic if and only if there is a label-preserving bijection ϕ from the edges of T to the edges of U such that S is a circuit in T if and only if ϕ(S) is a circuit in U, where T,U are quasi-representing graphs for G;H respectively.
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참고문헌 (8)
참고문헌 신청
D. Arnold / 1987 / Representing graphs for a class of torsion-free abelian groups, Abelian Group Theory / Gordon and Breach : 309 ~ 332
D. Arnold / 1989 / Invariants for a class of torsion-free abelian groups / Proc. Amer. Math. Soc 105 (2) : 293 ~ 300
D. Arnold / 1989 / Quasi-isomorphism invariants for a class of torsion-free abelian groups / Houston J. Math 15 (3) : 327 ~ 340
D. Arnold / 1991 / Duality and Invariants for Butler groups / Pacific J. Math 148 (1) : 1 ~ 9
F. Richman / 1983 / An extension of the theory of completely decomposable torsion-free abelian groups / Trans. Amer. Math. Soc 279 (1) : 175 ~ 185
D. Arnold / 1989 / Invariants for a class of torsion-free abelian groups / Proc. Amer. Math. Soc 105 (2) : 293 ~ 300
D. Arnold / 1989 / Quasi-isomorphism invariants for a class of torsion-free abelian groups / Houston J. Math 15 (3) : 327 ~ 340
D. Arnold / 1991 / Duality and Invariants for Butler groups / Pacific J. Math 148 (1) : 1 ~ 9
F. Richman / 1983 / An extension of the theory of completely decomposable torsion-free abelian groups / Trans. Amer. Math. Soc 279 (1) : 175 ~ 185
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