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What is Free Group Index of Generated Subgroups about?

The paper investigates two-generator subgroups in SL2 over integers, rationals, and reals, focusing on the membership problem and algorithmic complexity. It presents theorems demonstrating that certain subgroups are free and discusses the solvability of the membership problem in constant time for specific cases. Additionally, it explores the implications of these findings on the structure of SL2 groups and poses open questions regarding the freeness of generated groups for various rational values.

Author

hobao9621

Language

EN