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Lower Central and Dimension Series of Groups
  • Language: en
  • Pages: 367

Lower Central and Dimension Series of Groups

A fundamental object of study in group theory is the lower central series of groups. Understanding its relationship with the dimension series is a challenging task. This monograph presents an exposition of different methods for investigating this relationship.

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.

Proceedings Of The International Congress Of Mathematicians 2010 (Icm 2010) (In 4 Volumes) - Vol. I: Plenary Lectures And Ceremonies, Vols. Ii-iv: Invited Lectures
  • Language: en
  • Pages: 4137

Proceedings Of The International Congress Of Mathematicians 2010 (Icm 2010) (In 4 Volumes) - Vol. I: Plenary Lectures And Ceremonies, Vols. Ii-iv: Invited Lectures

ICM 2010 proceedings comprises a four-volume set containing articles based on plenary lectures and invited section lectures, the Abel and Noether lectures, as well as contributions based on lectures delivered by the recipients of the Fields Medal, the Nevanlinna, and Chern Prizes. The first volume will also contain the speeches at the opening and closing ceremonies and other highlights of the Congress.

A Textbook of Algebraic Number Theory
  • Language: en
  • Pages: 261

A Textbook of Algebraic Number Theory

This self-contained and comprehensive textbook of algebraic number theory is useful for advanced undergraduate and graduate students of mathematics. The book discusses proofs of almost all basic significant theorems of algebraic number theory including Dedekind’s theorem on splitting of primes, Dirichlet’s unit theorem, Minkowski’s convex body theorem, Dedekind’s discriminant theorem, Hermite’s theorem on discriminant, Dirichlet’s class number formula, and Dirichlet’s theorem on primes in arithmetic progressions. A few research problems arising out of these results are mentioned together with the progress made in the direction of each problem. Following the classical approach o...

Bhatnagar Laureates, 1958-91
  • Language: en
  • Pages: 526

Bhatnagar Laureates, 1958-91

  • Type: Book
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  • Published: 1992
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  • Publisher: Unknown

Brief biographies of 259 Indian scientists and engineers who have won the Shanti Swarup Bhatnagar prize for their contributions to science and technology.

Sessional Papers
  • Language: en
  • Pages: 1080

Sessional Papers

  • Type: Book
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  • Published: 1966
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  • Publisher: Unknown

None

Annual Number
  • Language: en
  • Pages: 218

Annual Number

  • Type: Book
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  • Published: 1986
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  • Publisher: Unknown

None

Journal of Scientific & Industrial Research
  • Language: en
  • Pages: 428

Journal of Scientific & Industrial Research

  • Type: Book
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  • Published: 1985
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  • Publisher: Unknown

None

Current Science
  • Language: en
  • Pages: 828

Current Science

  • Type: Book
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  • Published: 1984
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  • Publisher: Unknown

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