Properties of the Secondary Hochschild Homology

In this paper we study properties of the secondary Hochschild homology of the triple $(A,B,\varepsilon)$ with coefficients in $M$. We establish a type of Morita equivalence between two triples and show that $H_\bullet((A,B,\varepsilon);M)$ is invariant under this equivalence. We also prove the existence of an exact sequence which connects the usual and the secondary Hochschild homologies in low dimension, allowing one to perform easy computations. The functoriality of $H_\bullet((A,B,\varepsilon);M)$ is also discussed.Comment: 15 page

Classifying Families of Character Degree Graphs of Solvable Groups

We investigate prime character degree graphs of solvable groups. In particular, we consider a family of graphs $\Gamma_{k,t}$ constructed by adjoining edges between two complete graphs in a one-to-one fashion. In this paper we determine completely which graphs $\Gamma_{k,t}$ occur as the prime character degree graph of a solvable group.Comment: 7 pages, 5 figures, updated version is reorganize

RSRM-3 (360L003) Ballistics/Mass Properties Report

The propulsion performance and reconstructed mass properties data from Morton Thiokol's RSRM-3 motors which were assigned to the STS-29 launch are presented. The composite type solid propellant burn rates were close to predicted. The performance of the pair of motors were compared to some CEI Specifications. The performance from each motor as well as matched pair performance values were well within the CEI specification requirements. The nominal thrust time curve and impulse gate information is included. Post flight reconstructed Redesigned Solid Rocket Motor (RSRM) mass properties are within expected values for the lightweight configuration

On the Absence of a Normal Nonabelian Sylow Subgroup

Let $G$ be a finite solvable group. We show that $G$ does not have a normal nonabelian Sylow $p$-subgroup when its prime character degree graph $\Delta(G)$ satisfies a technical hypothesis.Comment: 6 pages, 1 figur

Becoming-Pite: An Application of Deleuzian Theory to Chrystal Pite’s Choreography

Art destabilizes the human, rupturing the concept of the individual as primary universal organizer. The artist recognizes infinite potential in the virtual as expressed through intensity, something semantically inarticulable but nonetheless accessible via artistic production. Chrystal Pite, contemporary dance choreographer, is one such artist in whose creations the workings of affect make themselves perceptibly clear. We may turn to poststructuralist philosopher Gilles Deleuze and his theories of multiplicity, repetition, and nomadism in order to further understand the work that she has put forth. Pite, through art and affect, reminds us of the human condition of the de-centered individual, and Deleuze’s theories assist in further understanding this message that her works convey—a necessary translative tool in consideration of our inability to comprehend affect through typical linguistic structures. In this thesis I will provide a novel analysis of Crystal Pite’s choreography using the philosophy of Gilles Deleuze to expose her unique critical artistry and reveal how her creative process also allows us to better understand Deleuze’s philosophy. Pite’s choreography reflects the multiplicitous communicative and affective propensity expounded by Deleuzian critical theory; her choreographic work is almost a physical manifestation of those very concepts. It is critical that we continue to create connections across diverse disciplines and explore potential modes of thought; we are, as Deleuze writes in A Thousand Plateaus (1980), perpetually in a state of becoming as we conceive the world within and around us (42). This thesis aims to fuse the works of a choreographer and a philosopher into a unique assemblage of critical becoming, unveiling further modes by which one may understand the nature of the de-centered individual and the production of the overarching relationship between art and philosophy