Explore BrainMass
Share

Explore BrainMass

    Groups and Subgroups

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

    Question:
    Let G be a group of order 2k , that contains a cyclic subgroup of order k, where k is odd.
    Determine a formula to compute the number of subgroups of G that are of odd order.

    © BrainMass Inc. brainmass.com October 9, 2019, 8:50 pm ad1c9bdddf
    https://brainmass.com/math/group-theory/groups-and-subgroups-163981

    Attachments

    Solution Preview

    Solution:
    (The detailed step by step solution is given in the attached ...

    Solution Summary

    The solution to the above problem is given step by step using the relevant theorem.
    Students can understand easily this abstract computation of the number of odd subgroups in a given group and can work out similar problems using this model as an example.

    $2.19