#### Project Title

Counting Unitary Magmas

#### Presenter Hometown

Enumclaw, Washington

#### Major

Applied Mathematics

#### Department

Mathematics and Statistics

#### Degree

Graduate

#### Mentor

Steve Szabo

#### Mentor Department

Mathematics and Statistics

#### Recommended Citation

Hanks, Benjamin I., "Counting Unitary Magmas" (2019). *University Presentation Showcase Event*. 6.

https://encompass.eku.edu/swps/2019/graduate/6

#### Abstract

A brief review of the discussion on deriving the formula to count the number of fixed points for a given permutation. After stating the formula, a summary of the breakdown of each component in relation to magmas follows. A draft of an example of what a magma with identity looks and acts like after being acted on by a group action. Application of the formula slightly altered in order to account for the identity element of unitary magmas. Closing by observing the future potential applications of the stated formula on different algebraic structures.

#### Presentation format

Poster

Counting Unitary Magmas

A brief review of the discussion on deriving the formula to count the number of fixed points for a given permutation. After stating the formula, a summary of the breakdown of each component in relation to magmas follows. A draft of an example of what a magma with identity looks and acts like after being acted on by a group action. Application of the formula slightly altered in order to account for the identity element of unitary magmas. Closing by observing the future potential applications of the stated formula on different algebraic structures.