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Fixed Subgroups are not Compressed in Direct Products of Surface Groups

  • Qiang Zhang,
  • Jianchun Wu,
  • Fanling Gu

摘要

By constructing counterexamples, the authors show that the fixed subgroups are not compressed in direct products of free and surface groups, and hence negate a conjecture in [Zhang, Q., Ventura, E. and J. Wu, Fixed subgroups are compressed in surface groups, Internat. J. Algebra Comput., 25, 2015, 865–887].