@misc{9240400,
  abstract     = {{In this thesis, we study groups of superpolynomial growth, with a particular focus on the first Grigorchuk group. Introduced by Rostislav Grigorchuk in 1980, this group serves as a fundamental example of a finitely generated group of intermediate growth.

The main result concerns the superpolynomial growth of the first Grigorchuk group, illustrating its relevance for the conjugacy search problem as an application to group-based cryptography. 
This result contributes to understanding the connection between the growth rate of groups and algorithmic complexity required for public-key cryptographic protocols, which is briefly discussed here.}},
  author       = {{Kiss, Flora Golda}},
  issn         = {{1654-6229}},
  language     = {{eng}},
  note         = {{Student Paper}},
  series       = {{Bachelor’s Theses in Mathematical Sciences}},
  title        = {{The first Grigorchuk group and its applications to Group-based Cryptography}},
  year         = {{2026}},
}