Abstract Algebra: Theory and Applications · Problem 10.6.3

Homomorphisms — Thomas Judson

Mathematics — Abstract Algebra · sage-normal-subgroups-cosets

Problem

Consider the cyclic subgroup of order 4 in the symmetries of an 8-gon. Verify that the subgroup is normal by first building the raw left and right cosets (without using the .cosets() method) and then checking their equality in Sage, all with a single command that employs sorting with the sorted() command.

Related theory

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