Knowledge in Group theory

Mathematics (III semester)

Attached document contains the previous year question paper for Group theory for Mathematics (hons) by Delhi University. It can be very helpful for a quick revision and clarity of concepts.

Abstract Algebra : Introduction to group theory

In BSC honors mathematics, under introduction to group theory, you will study abstract algebra. Abstract Algebra is the study of algebraic systems in an abstract way. The pdf contains the lecture notes and exercise related to abstract algebra.

MASTER IN CURRENT AFFAIRS "JANUARY 2019" INPORTANT FOR RAILWAY NTPC 2019,GROUP D 2019, ETC

MASTER IN CURRENT AFFAIRS "JANUARY 2019" INPORTANT FOR RAILWAY NTPC 2019,GROUP D 2019, ETC. In MICA we provide you current affairs of last one month in detail along with question papers of Bank Exam on a monthly basis, helpful for Bank & SSC exams. We are pleased to present to you the 'May 2018' Edition of our very own 'Masters in Current Affairs'. This magazine is a platform where you get all the exam related information at a single place. It is designed especially for the forthcoming examinations. Its regular sections such as News Maker, News Diary, One-liners etc. cover each and every news in details which is important for examinations. Rest of the news are covered in 'Chalte - Chalte' i.e. one-liner news, which you can find at the bottom of each page. Some important issues of this month were discussed in featured articles. One among them is ‘Israel issue’ i.e., Israeli Jews and Palestinian Arabs both want the same land. And a compromise has proven difficult to find so all the minute details and the important questions that can be asked are mentioned inside. Then an article about ‘CBI and the New India’, so the In the latest development in the ongoing spat at the Central Bureau of Investigation, the Director and the Special Director have been “divested of all powers” and the Joint Director has been put in-charge with immediate effect while much more is given the whole article. Later we’ll see ‘Functioning of the RBI’ as the autonomy for the central bank, within the framework of the RBI Act, is an essential and accepted governance requirement amid speculation about the governor resigning. The government and the RBI have to be guided by the “public interest” and “the requirements of the Indian economy”. And all the important details are given inside. And an article about ‘Blockchain Technology’, by allowing digital information to be distributed but not copied, Blockchain technology created the backbone of a new type of internet. Originally devised for the digital currency, Bitcoin, the tech community is now finding other potential uses for the technology all the interesting information related to this article is given inside. In this edition, we are providing the solved paper of UPPCSACF/RFO PRE EXAM 2018 and G.S. PAPER I & G.S. PAPER II for your self-assessment. There is a separate section named Que.-TM for your self-evaluation, which includes all the possible MCQ's from this month's current affairs. This will be highly beneficial for all the upcoming examinations. Your advice or suggestions will be much appreciated and welcomed.

MASTER IN CURRENT AFFAIRS "JUNE 2018" INPORTANT FOR SSC,BANK, RAILWAY NTPC ,GROUP D, ETC

Once again we are pleased to present you the 'June 2018' Edition of our very own 'Masters in Current Affairs'. This edition features important articles on current issues and covers News Makers, News Diary, One-liners etc. which will help you out in revising previous issues. One more good news for all of you is the announcement of Probationary officers' vacancy by State Bank of India. Now you have a golden chance to hit two targets of SBI Clerk and SBI PO in a single preparation. For this we have included "SBI Clerk Pre" model paper for your practice. For those students who are preparing for SSC, Railway or Other similar exams, we have given a solved paper of Assistant Review/ Review officer conducted by UPPSC on 8th April 2018 besides other important collections

Group intro

Introduction of groups and it's theory... commutative and abelian group... some important results of group, definition of order of group and order kf elements

Various types

These are the various types of groups i e. Periodic group, mixed group and sub group.... This lecture includes the most important result that is the first subgroup test as well as intersection and union of subgroups

Invalation

The definition of invalation... And the theorem that even order of group has atleast one invalation Relation between groups are Homomorphisms, metamorphisms, epimorphism, endomorphism and isomorphism and it's related examples

Homomorphisms kernel

The definition of kernel of a Homomorphism.... The theorem that homomorphic image of a group is also a group and theorems of kernel too

Cyclic group

Cyclic group is an important aspect of group theory... we know that cyclic group always has a generator.... Two cyclic group of same order are isomorphic and every subgroup of a cyclic group is cyclic

Group Dynamics

It is an exegesis of a concept in social psychology. Group dynamics are elaborated with the help of a relevant example. The concepts of group dynamics are explained and correlated through a Netflix series. "Dear White People" is used to explain group dynamics. This exegesis can be used as an assignment for group dynamics as it evaluates all aspects of group dynamics through a modern day example.

Series Analysis wrt. Group Dynamics

This clip is an analysis of a famous series, "Dear White People" with respect to group dynamics.

Equivalence relation

An equivalence relation is that which is reflexive, symmetric as well as transitive.... There is a theorem that if there is an infinite cyclic group then a and it's inverse are it's generators.... Definition of complex in a group and product of complexes