Groups With Two Generators Having Unsolvable Word Problem And Presentations of Mihailova Subgroups

نویسندگان

  • Xiaofeng Wang
  • Chen Xu
  • Guo Li
  • Hanling Lin
چکیده

A presentation of a group with two generators having unsolvable word problem and an explicit countable presentation of Mihailova subgroup of F2 × F2 with finite number of generators are given. Where Mihailova subgroup of F2 × F2 enjoys the unsolvable subgroup membership problem. One then can use the presentation to create entities’ private keys in a public key cryptsystem.

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عنوان ژورنال:
  • IACR Cryptology ePrint Archive

دوره 2014  شماره 

صفحات  -

تاریخ انتشار 2014