𝔖 Bobbio Scriptorium
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Matrices connected with groups generated by mappings

✍ Scribed by E. A. Gutkin


Publisher
Springer US
Year
1973
Tongue
English
Weight
126 KB
Volume
7
Category
Article
ISSN
0016-2663

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πŸ“œ SIMILAR VOLUMES


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✍ Michelle Schultz πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 180 KB

Let 1 be a finite group and let 2 be a generating set for 1. A Cayley map associated with 1 and 2 is an orientable 2-cell imbedding of the Cayley graph G 2 (1 ) such that the rotation of arcs emanating from each vertex is determined by a unique cyclic permutation of generators and their inverses. A

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For a nonnegative definite matrix V and a matrix X with the same number of rows, it is demonstrated how to obtain explicit matrices G such that the range ~'(X:V) = ~'(V + XGGTX r) and V(V + XGGXXT)-v = V.