Abstract Algebra: Theory and Applications · Problem 6.7.1

Introduction to Cryptography — Thomas Judson

Mathematics — Abstract Algebra · lagrange-theorem-computational

Problem

Use .subgroups() to find an example of a group GG and an integer mm, so that (a) mm divides the order of GG, and (b) GG has no subgroup of order mm. (Do not use the group A4A_4 for GG, since this is in the text.) Provide a single line of Sage code that has all the logic to produce the desired mm as its output. (You can give your group a simple name on a prior line and then just reference the group by name.)

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