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Full-Text Articles in Other Mathematics
Symmetric Generations And An Algorithm To Prove Relations, Diddier Andrade
Symmetric Generations And An Algorithm To Prove Relations, Diddier Andrade
Electronic Theses, Projects, and Dissertations
In this thesis we have discovered homomorphic images of several progenitors such as 3^(*56):(23:(3:7), 3^(*14):(23:(3:7)), 5^(∗24) : S5, 2^(∗10) : (10 : 2), 56^(∗24) : (A5 : 2), and 11^(∗12) :m L2(11). We give isomorphism types of each image that we have found.
We then create a monomial representation of L2(11) by lifting 5:11 onto it.
We manually perform Double Coset Enumeration of 3:(2×S5) over D12
to create its Cayley graph. This is achieved by solving many word problems. The
Cayley graph is used to find a permutation representation of 3:(2×S5). We also
perform Double Coset Enumeration S3 × A5 …
The Decomposition Of The Space Of Algebraic Curvature Tensors, Katelyn Sage Risinger
The Decomposition Of The Space Of Algebraic Curvature Tensors, Katelyn Sage Risinger
Electronic Theses, Projects, and Dissertations
We decompose the space of algebraic curvature tensors (ACTs) on a finite dimensional, real inner product space under the action of the orthogonal group into three inequivalent and irreducible subspaces: the real numbers, the space of trace-free symmetric bilinear forms, and the space of Weyl tensors. First, we decompose the space of ACTs using two short exact sequences and a key result, Lemma 3.5, which allows us to express one vector space as the direct sum of the others. This gives us a decomposition of the space of ACTs as the direct sum of three subspaces, which at this point …