Purchase Solution

To determine whether the system described is a group

Not what you're looking for?

Ask Custom Question

Modern Algebra
Group Theory (II)

Determine whether the system described is a group.
G = a_0, a_1, a_2, a_3,...... where
a_i.a_j = a_(i + j) if i + j < 7
and a_i.a_j = a_(i + j - 7) if i + j > or equal to 7.
(for instance, a_5.a_4 = a_(5 + 4 - 7) since 5 + 4 = 9 > 7)

The fully formatted problem is in the attached file.

Purchase this Solution

Solution Summary

Whether or not a given system is a group is decided. The solution is detailed and well presented.

Solution Preview

The solution of the Posting is in the attached file.

Thanks for using BrainMass.com. Have a great day.
Modern Algebra
Group Theory (II)

By:- Thokchom Sarojkumar Sinha

Determine whether the system described is a group.
where
if
and if .
(for instance, since )

Solution:- Here

where

The operation '.' in is defined as

...

Solution provided by:
Education
  • BSc, Manipur University
  • MSc, Kanpur University
Recent Feedback
  • "Thanks this really helped."
  • "Sorry for the delay, I was unable to be online during the holiday. The post is very helpful."
  • "Very nice thank you"
  • "Thank you a million!!! Would happen to understand any of the other tensor problems i have posted???"
  • "You are awesome. Thank you"
Purchase this Solution


Free BrainMass Quizzes
Know Your Linear Equations

Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.

Exponential Expressions

In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.

Probability Quiz

Some questions on probability

Multiplying Complex Numbers

This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.

Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.