

Student Opportunities in Accelerated Research SOAR Program
The SOAR program is an opportunity for students of Grove City College to participate in a short term focused research project. The program first began in the summer of 2008. Each summer since, we have had three students work on a research project for four weeks during the summer. The SOAR program has been generously funded by the college's Swezey Fund for Scientific Research and Instrumentation. The Mathematics Department plans to continue the SOAR Program as long as the funding is available.
SOAR 2008
Students: Michael Ginter, Susannah Johnson, and James McNamara Advisor: Dr. Michael A. Jackson
Project Title: The Strong Symmetric Genus of Small Generalized Symmetric Groups
Abstract: The generalized symmetric groups, G(n,m), are defined to be the wreath product of the symmetric group on n objects with the cyclic group of order m. The strong symmetric genus of a finite group G is the smallest genus of a closed orientable topological surface on which G acts faithfully as a group of orientation preserving symmetries. This research project found the strong symmetric genus of the groups G(n,m) for n equal to 3, 4 or 5.
The students had the opportunity to present their work in several different forums:
from left: Michael Ginter, Susannah Johnson, and James McNamara
SOAR 2009
Students: Michelle Bowser, Trevor Partridge, and Kirsten Rodgers Advisor: Dr. Michael A. Jackson
Project Title: The Strong Symmetric Genus of Small Dtype Generalized Symmetric Groups
Abstract: For each positive integers m and n, the generalized symmetric group G(n,m) is defined to be the group generated by all n x n permutation matrices and all n x n diagonal matrices with entries in the m^{th} roots of unity. The Dtype generalized symmetric group D(n,m) is the normal subgroup of G(n,m) generated by all n x n permutation matrices and all n x n diagonal matrices with entries in the m^{th} roots of unity that have determinant 1. The strong symmetric genus of a finite group G is the smallest genus of a closed orientable topological surface on which G acts faithfully as a group of orientation preserving symmetries. We obtain the strong symmetric genus of each group D(n,m) where n = 3, 4, or 5.
The students also spent some time during their project finding the Strong Symmetric Genus of the groups we referred to as AD(n,m) for n equal to 3, 4 or 5. AD(n,m) is the normal subgroup of D(n,m) generated by all n x n permutation matrices that have determinant 1, and all n x n diagonal matrices with entries in the m^{th} roots of unity that have determinant 1.
The students will have the opportunity to present their work in several different forums:
From Left: Trevor Partridge, Kirsten Rodgers, and Michelle Bowser 



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