Browsing by Author "Hyde, James"

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    • Sets of universal sequences for the symmetric group and analogous semigroups 

      Peresse, Yann; Hyde, James; Mitchell, James D.; Jonusas, Julius (2020-01-28)
      A universal sequence for a group or semigroup S is a sequence of words w1,w2,… such that for any sequence s1,s2,…∈S, the equations wi=si, i∈N, can be solved simultaneously in S. For example, Galvin showed that the sequence ...

    • Universal sequences for the order-automorphisms of the rationals 

      Hyde, James; Jonusas, Julius; Mitchell, J. D.; Peresse, Y. H. (2016-05-13)
      In this paper, we consider the group Aut$(\mathbb{Q}, \leq)$ of order-automorphisms of the rational numbers, proving a result analogous to a theorem of Galvin's for the symmetric group. In an announcement, Kh\'elif states ...