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March 4, 2026Journal of Higher Education Research0 citationsOpen Access

Exploring the Ping Pong Lemma and Free Groups in Algebra

Algebraic Ping Pong

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Authors

LMLiam MargettsYRYuri Santos Rêgo

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Overview

This project investigates free groups using the ping pong lemma, revealing insights about group properties.

Key Points

  • The aim is to understand the characteristics of free groups and their implications for larger groups.
  • Studied the ping pong lemma as a technique to identify free groups.
  • Analyzed the properties of free groups and their subgroups.
  • Examined free subgroups in the modular group SL(2, Z).
  • Identified a family of free subgroups within the modular group.
  • Clarified how the properties of free groups influence the characteristics of larger groups.

Cite This Study

Margetts et al. (2026) studied this question.

synapsesocial.com/papers/69a7cdaed48f933b5eeda416https://doi.org/10.82406/fbmb-2h15
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