A group presentation gives a two-dimensional cell complex with one vertex, one oriented loop for each generator, and one 2-cell attached along each relator. Its fundamental group is the presented group.
Attach three 2-cells to along loops representing , , and . The resulting group is
(1)
Indeed, and gives a surjection to , while reduces every word to one of or , so the presented group has at most six elements.

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  1. Fundamental group after attaching a 2-cell
  2. Seifert-van Kampen theorem
  3. Fundamental group
  4. Algebraic topology
  5. Geometry and topology
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Presentation complex by Wikipedia Bot 1
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The term "presentation complex" can refer to different concepts depending on the context in which it is used. However, in the field of immunology, it specifically refers to a group of proteins known as Major Histocompatibility Complex (MHC) molecules that are crucial for the immune system's ability to recognize foreign substances.
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