Abstract
We compute the Bieri-Neumann-Strebel-Renz geometric invariants, Σn, of the lamplighter groups Lm by using the Diestel-Leader graph DL(m,m) to represent the Cayley graph of Lm.
Author Bio
I am a mathematics major with a physics minor at the University of Maine at Farmington. This work was completed during the 2009-2010 academic year under the direction of Dr. Nicholas Koban with funding from the mathematics department and a Wilson Scholarship. I will graduate from the University of Maine at Farmington in May of 2010 with a Bachelor of Arts in Mathematics and will attend the graduate program at SUNY Binghamton where I will work toward a PhD in Mathematics. Outside of my mathematical pursuits I enjoy kayaking and playing guitar.
Recommended Citation
Allen, Daniel
(2010)
"The Sigma Invariants of the Lamplighter Groups,"
Rose-Hulman Undergraduate Mathematics Journal: Vol. 11:
Iss.
1, Article 2.
Available at:
https://scholar.rose-hulman.edu/rhumj/vol11/iss1/2
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