Главная    Ex Libris    Книги    Журналы    Статьи    Серии    Каталог    Wanted    Загрузка    ХудЛит    Справка    Поиск по индексам    Поиск    Форум   
blank
Авторизация

       
blank
Поиск по указателям

blank
blank
blank
Красота
blank
Harpe P. — Topics in Geometric Group Theory (Chicago Lectures in Mathematics)
Harpe P. — Topics in Geometric Group Theory (Chicago Lectures in Mathematics)

Читать книгу
бесплатно

Скачать книгу с нашего сайта нельзя

Обсудите книгу на научном форуме



Нашли опечатку?
Выделите ее мышкой и нажмите Ctrl+Enter


Название: Topics in Geometric Group Theory (Chicago Lectures in Mathematics)

Автор: Harpe P.

Аннотация:

Groups as abstract structures were recognized progressively during the 19th century by mathematicians including Gauss (Disquisitiones avithmeticae in
1801), Cauchy, Galois, Cayley, Jordan, Sylow, Frobenius, Klein (Erlangen pro-
gram in 1872), Lie, Poincar6 ... ; see e.g. Chapter III in [Dieud-78] and [NeumP-
99]. Groups are of course sets given with appropriate "multiplications", and
they are often given together with actions on interesting geometric objects.
But the fact which we want to stress here is that groups are also interesting
geometric objects by themselves — a point of view illustrated in the past by
Cayley and Dehn (see Chapter 1.5 in [ChaMa-82]), and more recently by Gro-
mov. More precisely, a finitely-generated group can be seen as a metric space
(the distance between two points being defined "up to quasi-isometry", in the
sense of Section IV.B below), and this gives rise to a very fruitful approach to
group theory.


Язык: en

Рубрика: Разное/

Статус предметного указателя: Неизвестно

ed2k: ed2k stats

Год издания: 2000

Количество страниц: 310

Добавлена в каталог: 25.03.2018

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
blank
Предметный указатель
blank
Реклама
blank
blank
HR
@Mail.ru
       © Электронная библиотека попечительского совета мехмата МГУ, 2004-2019
Электронная библиотека мехмата МГУ | Valid HTML 4.01! | Valid CSS! О проекте