Ischia Group Theory 2010: Proceedings of the Conference : Ischia, Naples, Italy, 14-17 April 2010

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Mariagrazia Bianchi
World Scientific, 2012 - Electronic books - 416 pages
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The papers in this volume represent the proceedings of the Conference entitled OC Ischia Group Theory 2010OCO, which took place at NH Ischia Thermal SPA Resort, Ischia, Naples, Italy, from April 14 to April 17, 2010. The articles in this volume are contributions by speakers and participants of the Conference. The volume contains a collection of research articles by leading experts in group theory and some accessible surveys of recent research in the area. Together they provide an overview of the diversity of themes and applications that interest group theorists today. Topics covered in this volume include: finite p-groups, character and representation theory, combinatorial group theory, varieties of groups, profinite and pro-p-groups, linear groups, graphs connected with groups, subgroup structure, finiteness conditions, radical rings, conjugacy classes, automorphisms."
 

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Contents

Positive Laws on Generators in Powerful Prop Groups C Acciarri and G A FemandezAlcober
1
Periodic Groups Saturated by Dihedral Subgroups B Amberg and L Kazarin
11
A Note on Finite Groups in which the Conjugacy Class Sizes Form an Arithmetic Progression M Bianchi A Gillio and P P Paljy
20
A Survey of Recent Progress on NonAbelian Tensor Squares of Groups R D Blyth F Fumagalli and M Morigi
26
The First Gap R Brandl
39
The Tutte Polynomial of the Schreier Graphs of the Grigorchuck Group and the Basilica Group T CeccheriniSilberstein A Donna and D Iacono
45
On Maximal Subgroups of the Alternating and Symmetric Groups V Colombo
69
Markovs Problems through the Looking Glass of Zariski and Markov Topologies D Dikranjan and D Toller
87
Inducing partial Characters with a Given Vertex M L Lewis
215
Groups and Lie Rings with Frobenius Groups of Automorphisms N Yu Makarenko
223
On Integral Representations of Finite Groups D Malinin
255
On pgroups of Small Powerful Class A Mann
266
Lifting 2 kgenerators of Linear Groups A Maroti and C Tamburini Bellani
273
Fixed Point Subgroups and Character Tables G Navarro
277
Permutability and Seriality in Locally Finite Groups D J S Robinson
284
On the Exponent of a Finite Group with a FourGroup of A utomorphisms E Romano and P Shumyatsky
292

Linear Groups with Finite Dimensional Orbits M R Dixon L A Kurdachenko and J Otal
131
Threedimensional Loops as Sections in a Fourdimensional Solvable Lie Group A Figula
146
A Note on Finite pgroups with a Maximal Elementary Subgroup of Rank 2 G Glauberman
159
Finitely Generated Free by Cp Prop Groups W Herfort and P A Zalesskii
164
Finite Nonabelian 2groups All of Whose Minimal Nonabelian Subgroups are Isomorphic to M Z Janko
170
Twisted Conjugacy in Certain Artin Groups A Juhasz
175
Applications of Cliffords Theorem to Frobenius Groups of Automorphisms E I Khukhro
196
Examples of Markov Chains on Spaces with Multiplicities F Scarabotti and F Tolli
303
Results and Problems W J Shi
313
On Local Finiteness of Verbal Subgroups in Residually Finite Groups P Shumyatsky
334
The Adjoint Group of Radical Rings and Related Questions Ya P Sysak
344
On the Gorenstein Dimension of Soluble Groups O Talelli
366
Decomposition Numbers for Projective Modules of Finite Chevalley Groups A E Zalesski
376
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