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Symmetric Automorphisms of Free Products
  • Language: en
  • Pages: 113

Symmetric Automorphisms of Free Products

The authors construct a complex [italic capital]K([italic capital]G) on which the automorphism group of [italic capital]G acts and use it to derive finiteness consequences for the group [capital Greek]Sigma [italic]Aut([italic capital]G). They prove that each component of [italic capital]K([italic capital]G) is contractible and describe the vertex stabilizers as elementary constructs involving the groups [italic capital]G[subscript italic]i and [italic]Aut([italic capital]G[subscript italic]i).

Automorphisms of Finite Groups
  • Language: en
  • Pages: 231

Automorphisms of Finite Groups

  • Type: Book
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  • Published: 2019-01-12
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  • Publisher: Springer

The book describes developments on some well-known problems regarding the relationship between orders of finite groups and that of their automorphism groups. It is broadly divided into three parts: the first part offers an exposition of the fundamental exact sequence of Wells that relates automorphisms, derivations and cohomology of groups, along with some interesting applications of the sequence. The second part offers an account of important developments on a conjecture that a finite group has at least a prescribed number of automorphisms if the order of the group is sufficiently large. A non-abelian group of prime-power order is said to have divisibility property if its order divides that of its automorphism group. The final part of the book discusses the literature on divisibility property of groups culminating in the existence of groups without this property. Unifying various ideas developed over the years, this largely self-contained book includes results that are either proved or with complete references provided. It is aimed at researchers working in group theory, in particular, graduate students in algebra.

Groups of Automorphisms of Manifolds
  • Language: en
  • Pages: 163

Groups of Automorphisms of Manifolds

  • Type: Book
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  • Published: 2006-11-14
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  • Publisher: Springer

None

Automorphisms of Affine Spaces
  • Language: en
  • Pages: 244

Automorphisms of Affine Spaces

Automorphisms of Affine Spaces describes the latest results concerning several conjectures related to polynomial automorphisms: the Jacobian, real Jacobian, Markus-Yamabe, Linearization and tame generators conjectures. Group actions and dynamical systems play a dominant role. Several contributions are of an expository nature, containing the latest results obtained by the leaders in the field. The book also contains a concise introduction to the subject of invertible polynomial maps which formed the basis of seven lectures given by the editor prior to the main conference. Audience: A good introduction for graduate students and research mathematicians interested in invertible polynomial maps.

Finite Groups of Automorphisms
  • Language: en
  • Pages: 136

Finite Groups of Automorphisms

  • Type: Book
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  • Published: 1971-10-31
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  • Publisher: CUP Archive

These are notes of lectures given at the University of Southampton, October-December 1969. The lectures were intended for research students working in areas related to the topics discussed, and for mathematicians working in other fields who were interested in hearing a survey of some current problems and their background. The character of the lectures has been retained by the inclusion of occasional 'philosophical' remarks, but the text has been kept free of references as far as possible.

Automorphisms of Surfaces After Nielsen and Thurston
  • Language: en
  • Pages: 116

Automorphisms of Surfaces After Nielsen and Thurston

A comprehensive introduction to selected aspects of modern low-dimensional topology for readers with a knowledge of basic algebra.

Polynomial Automorphisms
  • Language: en
  • Pages: 360

Polynomial Automorphisms

None

Nilpotent Groups and Their Automorphisms
  • Language: en
  • Pages: 276

Nilpotent Groups and Their Automorphisms

The aim of the Expositions is to present new and important developments in pure and applied mathematics. Well established in the community over more than two decades, the series offers a large library of mathematical works, including several important classics. The volumes supply thorough and detailed expositions of the methods and ideas essential to the topics in question. In addition, they convey their relationships to other parts of mathematics. The series is addressed to advanced readers interested in a thorough study of the subject. Editorial Board Lev Birbrair, Universidade Federal do CearĂ¡, Fortaleza, Brasil Walter D. Neumann, Columbia University, New York, USA Markus J. Pflaum, Univ...

Intense Automorphisms of Finite Groups
  • Language: en
  • Pages: 132

Intense Automorphisms of Finite Groups

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Automorphisms of Manifolds and Algebraic $K$-Theory: Part III
  • Language: en
  • Pages: 122

Automorphisms of Manifolds and Algebraic $K$-Theory: Part III

The structure space of a closed topological -manifold classifies bundles whose fibers are closed -manifolds equipped with a homotopy equivalence to . The authors construct a highly connected map from to a concoction of algebraic -theory and algebraic -theory spaces associated with . The construction refines the well-known surgery theoretic analysis of the block structure space of in terms of -theory.