NET Algebra - Group Theory

By

 Greetings to all and Welcome.

The objective of this initiative is to inculcate Mathematical and logical thinking towards problem solving.

We attempt this through solving questions of CSIR UGC NET Mathematics.

This also benefits NET/SET aspirants.

In this connection we post topic wise discussion. 

In the following link we discussed questions on 

Algebra - Group Theory

 Algebra - Group Theory

   

The links of earlier posts are : 

  1. Real Analysis - Basics

  2. Real Analysis - Cardinality of sets

  3. Real Analysis - Infimum and Supremum and Metric Space

  4. Real Analysis - Sequence and lim inf and lim sup

Comments

Post a Comment

Popular posts from this blog

CSIR UGC NET Real Analysis-Basics

By
  Greetings to all and Welcome. The objective of this initiative is to inculcate Mathematical and logical thinking towards problem solving. We attempt this through solving questions of CSIR UGC NET Mathematics. This also benefits NET/SET aspirants. In this direction we post topic wise discussion. As the first, in the following l ink we discussed questions on Real Analysis- Basics. Real Analysis- Basics
Read more

A Way of Learning Mathematics

By
Image
A Way of Learning Mathematics   M.Velrajan Learning takes place when the learner has freedom to think, questions arise into the learner and the learner tries to get answers for that. One can also learn by observation and from any incidences. Thinking beyond, Thinking differently and asking questions themselves and to others are essential to develop learning. Learning by observation We illustrate a way of learning by simple observation on numbers.  Look into the multiplication table of 9.   1 ⨯ 9 = 09    2 ⨯ 9 = 18   3 ⨯ 9 = 27   4 ⨯ 9 = 36   5 ⨯ 9 = 45   6 ⨯ 9 = 54   7 ⨯ 9 = 63   8 ⨯ 9 = 72   9 ⨯ 9 = 81 10 ⨯ 9 = 90 What do we observe in the multiplication table of 9 ? Observation : Sum of the digits of all in the RHS is 9, the first (tenth place) digits in the RHS are 0, 1, 2, . . . , 9 and the second (unit place) digits are 9, 8, 7, . . . , 1, 0 and each r...
Read more

Cyclic Group to Subgroup, Subring and Ideal Generated by a Subset

By
Image
                              Cyclic Group to Subgroup, Subring and  Ideal Generated by a Subset M. Velrajan The objective of this article is to develop mathematical thinking, problem solving and thereby developing critical thinking among young mathematics learners. This can be done by enlightening the young minds with understanding and exploration of the beauties of pure mathematics and with developing interest in mathematics. Let us discuss how we can find the subgroup generated by a subset of a group and the subring and ideal generated by a subset of a ring by understanding the cyclic subgroup of a group. We start with  1. Suppose * is an associative binary operation on a set A. Then we know that * as a mapping from A × A into A, for any a, b ∈ A, a * b ∈ A and it is unique. The natural way of thinking raises about 3 elements and ...
Read more