Explore BrainMass

Cyclic Groups and Generators

This content was STOLEN from BrainMass.com - View the original, and get the already-completed solution here!

Let G = <a> be a cyclic group of size 600. What is a generator for the smallest subgroup of G that includes both a^42 and a^70?

© BrainMass Inc. brainmass.com October 24, 2018, 8:50 pm ad1c9bdddf

Solution Preview

Since G is a cyclic group of size 600, we can assume that G=<a>, ...

Solution Summary

Cyclic groups and generators are investigated. The response received a rating of "5/5" from the student who originally posted the question.

See Also This Related BrainMass Solution

Cyclic Groups, Generators and Orders of Elements

(1) Let G be a group such that
Show that G cannot be cyclic.

(2) Show that a cyclic group with one generator has at most 2 elements.

(3) Let a 2 G be an element of order two, and b 2 G an element of order three. Show that HK where H = (a) and K = (b) has order 6.

See the attached file.

View Full Posting Details