# Show that the group G is abelian if (ab)^2=a^2b^2

Modern Algebra
Group Theory (VIII)

If G is a group such that (ab)^2=a^2b^2 for all a,b belongs to G, show that G must be abelian.

Or, Show that the group G is abelian iff (ab)^2=a^2b^2.

The fully formatted problem is in the attached file.

This question has the following supporting file(s):

###### File Viewer (Click To Zoom)

Solution Summary

This shows how to complete a proof regarding an Abelian group. The solution is detailed and well presented.

\$2.19
###### This answer includes:
• Plain text
• Cited sources when necessary
• Attached file(s)
• posting_57192_new.doc
• posting_57192_new.docx
Add to Cart   \$2.19

Thokchom Sarojkumar Sinha, MSc

Rating 4.7/5

Active since 2006

BSc, Manipur University
MSc, Kanpur University

Responses 604

Comments on Thokchom Sarojkumar's work:

"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"

"You are awesome. Thank you"

"Thank you a million!!! Would happen to understand any of the other tensor problems i have posted???"