1 citations · 1 across the 8 of their papers we have counts for
9 papers
Fiber-preserving and orientation-reversing involutions of Seifert fibered 3-manifolds
Benjamin Peet
We consider fiber-preserving, orientation-reversing involutions on orientable Seifert fibered 3-manifolds and the conditions on a manifold for admissibility of such involutions. We…
On the impossibility of certain configurations
Jackson Philbrook, Benjamin Peet
This paper investigates the impossibility of certain configurations. Firstly, for , the result of \cite{gropp1992non} that is even and $n…
Variations on Ramsey numbers and minimum numbers of monochromatic triangles in line -colorings of configurations
Jamie Bishop, Rebekah Kuss, Benjamin Peet
This paper begins by exploring some old and new results about Ramsey numbers and minimum numbers of monochromatic triangles in -colorings of complete graphs, both in the disjoin…
Configurations of higher orders
Benjamin Peet
This paper begins by extending the notion of a combinatorial configuration of points and lines to a combinatorial configuration of points and planes that we refer to as configurati…
The Abundancy Index and Feebly Amicable Numbers
Jamie Bishop, Abigail Bozarth, Rebekah Kuss +1
This research explores the sum of divisors - - and the abundancy index given by the function . We give a generalization of amicable pairs - feebly amicable p…
Finite, fiber-preserving group actions on elliptic 3-manifolds
Benjamin Peet
In two previous papers the author presented a general construction of finite, fiber- and orientation-preserving group actions on orientable Seifert manifolds. In this paper we rest…
Coverings of Configurations, Prime Configurations, and Orbiconfigurations
Benjamin Peet
This exploratory paper considers the notion of a covering of a configuration and -coverings which are coverings that are quotients under a semi-regular group action. We consider…
Finite, fiber- and orientation-preserving actions on orientable Seifert manifolds with non-orientable base space
Benjamin Peet
This paper extends the results from the author's previous paper to consider finite, fiber- and orientation- preserving group actions on closed, orientable Seifert manifolds tha…
Finite, fiber- and orientation-preserving group actions on totally orientable Seifert manifolds
Benjamin Peet
In this paper we consider the finite groups that act fiber- and orientation-preservingly on closed, compact, and orientable Seifert manifolds that fiber over an orientable base spa…