An introduction to the classification of finite simple groups
نویسندگان
چکیده
منابع مشابه
A Simple Classification of Finite Groups of Order p2q2
Suppose G is a group of order p^2q^2 where p>q are prime numbers and suppose P and Q are Sylow p-subgroups and Sylow q-subgroups of G, respectively. In this paper, we show that up to isomorphism, there are four groups of order p^2q^2 when Q and P are cyclic, three groups when Q is a cyclic and P is an elementary ablian group, p^2+3p/2+7 groups when Q is an elementary ablian group an...
متن کاملترجمه و تحقیق کتاب an introduction to the history of mysticism
پایان نامه ی ارائه شده ترجمه ی کتاب «an introduction to the history of mysticism» نوشته ی مارگارت اسمیت که وی پژوهشگر، خاورشناس و محقق برجسته ی تصوف و عرفان می باشد. موضوع اساسی و مهم این کتاب عرفان در ادیان مختلف است. نویسنده در ابتدا این کلمه را ریشه یابی کرده و سپس تعریفی از آن ارائه داده و آن را در ادیان مختلف مورد بحث قرار داده است و در هر فصل کتاب به معرفی عرفای آن دین یا عصر خاصی پرداخته...
15 صفحه اولClassification of Finite Simple Groups
Analogous to the way the integers can be decomposed uniquely into prime factors, finite groups can be decomposed into finite simple groups, which cannot be further decomposed nontrivially. We will prove the JordanHölder Theorem and show that finite groups can always be decomposed uniquely into finite simple groups, and discuss the classification of these groups. In particular, we will discuss t...
متن کاملThe Classification of the Finite Simple Groups: An Overview
We briefly survey on the classification of finite simple groups. A.M.S. Classification: 20D05, 20D06, 20D08, 20-02.
متن کاملThe Classification of Finite Simple Groups
My aim in this lecture will be to try to convince you that the classification of the finite simple groups is nearing its end. This is, of course, a presumptuous statement, since one does not normally announce theorems as "almost proved". But the classification of simple groups is unlike any other single theorem in the history of mathematics, since the final proof will cover at least 5,000 journ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Bulletin of the American Mathematical Society
سال: 1979
ISSN: 0273-0979
DOI: 10.1090/s0273-0979-1979-14550-6