Explore BrainMass
Share

Explore BrainMass

    Group Properties of Even and Odd Integers

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

    (a) Verify that 2Z (the set of even integers) forms a group under ordinary addition.

    (b) Give two reasons why the set of odd integers would not form a group under ordinary addition.

    See Attachment.

    © BrainMass Inc. brainmass.com October 10, 2019, 4:35 am ad1c9bdddf
    https://brainmass.com/math/group-theory/group-properties-even-odd-integers-468185

    Attachments

    Solution Summary

    We prove that the set of even integers are an additive group but the set of odd integers are not.

    $2.19