Groups St. Andrews 2005. Volume 2 / edited by C.M. Campbell [and others].
'Groups St Andrews 2005' was held in the University of St Andrews in August 2005 and this second volume of a two-volume book contains selected papers from the international conference. Four main lecture courses were given at the conference, and articles based on their lectures form a subst...
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Full Text (via Cambridge) |
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| Other title: | Groups Saint Andrews 2005 |
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cambridge, U.K. ; New York :
Cambridge University Press,
2007.
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| Series: | London Mathematical Society lecture note series ;
340. |
| Subjects: |
Table of Contents:
- Cover; Title; Copyrights; Contents of Volume 2; Contents of Volume 1; Introduction; Groups and Semigroups: Connections and Contrasts; 1 Introduction; 2 Submonoids of Groups; 3 Regular and Inverse Monoids; 4 Free Inverse Monoids, Equations; 5 Subgroups of Free Groups and Closed Inverse Submonoids of Free Inverse Monoids; 6 Finite Inverse Monoids and Infinite Groups; 7 Presentations of Inverse Monoids; 8 Acknowledgements; References; Toward the Classification of s-arc Transitive Graphs; 1 Introduction; 2 Local analysis; 3 Global analysis; References.
- Non-Cancellation Group Computation for some Finitely Generated Nilpotent Groups1 Introduction; 2 Some properties of the groups; 3 Non-cancellation group (Mislin genus); References; Permutation and Quasi-Permutation Representations of the Chevalley Groups; 1 Introduction; 2 Chevalley groups; 3 Algorithms for r(G), c(G) and q(G); 4 Permutation representation; References; The Shape of Solvable Groups with Odd Order; 1 Introduction; 2 Solvable groups; 3 Examples; References; Embedding in Finitely Presented Lattice-Ordered Groups: Explicit Presentations for Constructions; 1 Introduction.
- 2 Background and notation3 Proof of Theorem A; 4 Proof of Theorem B; 5 Theorem C; References; A Note on Abelian Subgroups of p-Groups; 1 Introduction; 2 Ideas in proofs; 3 Open questions; References; On Kernel Flatness; 1 Introduction; 2 Preliminaries; 3 Results; References; On Proofs in Finitely Presented Groups; 1 Introduction; 2 Coset enumeration; 3 Proof certificates; 4 Pruned enumeration; 5 Some Fibonacci groups; 5.1 F(2, 5) ; 5.2 F(3, 5); 5.3 F(2, 7); 6 The trivial group; 6.1 E1 and 2-generator subgroups ; 6.2 E1 and cyclic subgroups ; 6.3 Proof variability.
- 6.4 E1 over the trivial subgroup7 Conclusions; References; Computing with 4-Engel Groups; 1 Introduction; 2 4-Engel 5-groups; 3 4-Engel p-groups; theory; 4 4-Engel p-groups; coset enumerations; 5 Proving T nilpotent; References; On the Size of the Commutator Subgroup in Finite Groups; 1 Introduction; 2 Groups with Z(G) = Z(G) = 1; 3 Omitting the condition Z(G) = 1; 4 Factors and subgroups of non-nilpotent groups; References; Groups of Infinite Matrices; Introduction; Proofs of main results; References; Triply Factorised Groups and Nearrings; 1 Introduction; 1.1 Radical rings.
- 1.2 A connection between certain triply factorised groups and radical rings2 Nearrings; 2.1 A connection between triply factorised groups and nearrings; 3 Nearrings with non-abelian construction subgroups; 4 More on nearrings; 4.1 Prime rings; 4.2 Local nearrings whose groups of units are dihedral; References; On the Space of Cyclic Trigonal Riemann Surfaces of Genus 4; 1 Introduction; 2 Trigonal Riemann surfaces and Fuchsian groups; 3 Non-unique cyclic trigonal morphisms on Riemann surfaces; 4 Appendix: Groups of order 36 and 72; References; On Simple Kn-Groups for n = 5, 6; 1 Introduction.