Essays about: "Combinatorial Group Theory"
Found 2 essays containing the words Combinatorial Group Theory.
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1. Implementation of the Todd-Coxeter Algorithm to Finitely Presented Groups
University essay from Lunds universitet/Matematik (naturvetenskapliga fakulteten)Abstract : This work presents the notion of free groups and the definition of a group using generators and relations. We use the Todd-Coxeter Algorithm in order to solve the coset enumeration problem for the finitely presented groups: $D_4,\, A_4,\, A_5,\, S_3,\, S_4,\, S_5,\, PSL_2(7),\, PSL_2(9)$. READ MORE
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2. On p -groups of low power order
University essay from KTH/Skolan för teknikvetenskap (SCI)Abstract : We know that groups of order p, wherepis a prime, are cyclic and are all isomorphic to Zp. That there are only two groups of orderp2up to isomorphisms, both of them abelian is also a well known fact. To continue this procedure we will in chapter one classify the structures of p-groups of orderp3andp4. READ MORE