Abstract
We propose the study of a wide variety of infinite groups from a computational complexity point of view. We raise some important structural questions on these groups from a computational aspect. The purpose of this paper is to invite the attention of both the theoretical computer science community and the combinatorial group theorists that a fruitful area of cross fertilization may be offering itself. As a specific problem, we consider randomly generated groups and their isomorphism problem.
Research supported by NSF grant CCR-9057486 and a grant from MITL.
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© 1991 Springer-Verlag Berlin Heidelberg
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Cai, Jy. (1991). Computations over infinite groups. In: Budach, L. (eds) Fundamentals of Computation Theory. FCT 1991. Lecture Notes in Computer Science, vol 529. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-54458-5_46
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DOI: https://doi.org/10.1007/3-540-54458-5_46
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