Maximal Subgroup Containment in Direct Products

Using the main theorem from [1] that characterizes containment of subgroups in a direct product, we provide a characterization of maximal subgroups contained in a direct product. We also provide an example of our main theorem to a maximal subgroup in $A_4 \times A_4$

Embedding Properties in Central Products

Color poster with text and formulas.In group theory, we study ways to get new groups from old groups, and we study properties of subgroups and further characterizations of subgroups in various groups. Edouard Goursat determined a method to characterize the subgroups of a direct product of two groups, and many group theorists use his characterization to help understand subgroups of direct products. Central products are direct products with amalgamated centers. The amalgamated centers are the intersection of the centers of the groups whose product is being taken, and it contains the intersection of the groups themselves. For this project, we worked to accomplish the characterization of pronormal subgroups in central products, which is an extension of previous work from where Lewis, Almousa, and Elert characterized normal, subnormal, and abnormal subgroups in central products.University of Wisconsin--Eau Claire Office of Research and Sponsored Program

Domestic Intercultural Immersion Community of Practice : Embracing the Somali Immigrant Experience in Midwest Public Schools

Color poster with text, images, and graphs.The intent of this domestic intercultural immersion experience is to equip participants with information about Somali culture, traditions and religion from scholarly presentations, readings,observation and interaction with Somali Americans. Secondly, an awareness of how learners’ race/ethnicity, background knowledge and experiences, culture, religion, and gender impact school environments. Lastly, an understanding of the complexities of urban immigrants’ lives and large populations of one culture in one school (i.e., high incidence population of non-native speakers).University of Wisconsin--Eau Claire Office of Research and Sponsored Program

Math 380: Research Methods in Mathematics

Color poster with text, images, and graphs.Math 380: Research Methods was developed for Fall semester of 2015 by Dr. Dandrielle Lewis, Dr. Carolyn Otto, and three undergraduate mentors. The main premise of this course is to instruct future mathematicians on the art and procedures of mathematics research. This course prepares students for student/faculty research collaboration at UWEC, readies them for the rigors of graduate study in mathematics, and equips students with skills that will aid in careers in academia or industry. The class was divided into three units: proof methods, presentation formats and practice, and a final research project. A prominent part of research is the ability to communicate effectively, not only when giving a research presentation, but when working with colleagues. Therefore, throughout the class students were challenged to develop their written and oral communication skills.University of Wisconsin--Eau Claire Office of Research and Sponsored Program