Isomorphism Classes and Derived Series of Certain Almost-Free Groups
    Robert H. Lewis and Sal Liriano
    CONTENTS
    1. Introduction 2. Strategy and Results Acknowledgements References
    
    Baumslag defined a family of groups that are of interest because they closely resemble free groups, yet are not free. It was known that each group in this family has the same lower central series of quotients and the same first two terms in the derived series of quotients as does the free group on two generators. We have verified that there are different isomorphism types among the groups in the family, and that the third terms in the derived series of quotients are often distinct from that of . Our basic technique is to count the number of homomorphisms from the groups of interest to a target group.
    
    1. INTRODUCTION
    
    Theorem.
    
    256
    
    Experimental Mathematics, Vol. 3 (1994), No. 3
    
    (1.1)
    
    (2.1)
    
    2. STRATEGY AND RESULTS
    
    Lewis and Liriano: Isomorphism Classes and Derived Series of Certain Almost-Free Groups
    
    257
    
    TABLE 1.
    
    1. 2.
    
    ACKNOWLEDGEMENTS
    
    REFERENCES
    
    258
    
    Experimental Mathematics, Vol. 3 (1994), No. 3

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