Questions about the Group Homomorphisms poster

What’s on the Group Homomorphisms poster?

The rule, 3 worked examples, and the mistake everyone makes. A homomorphism preserves the operation: the image of a product is the product of the…; φ(ab) = φ(a)φ(b) for all a, b ∈ G; φ of the identity = The identity of H; The kernel of φ = A normal subgroup of G; Kernel is trivial = φ is injective; Common mistake: Checking injectivity element by element → Checking the kernel is trivial. The image is a subgroup of the codomain and the kernel is a normal subgroup of the domain. Both facts come free.

Who is the Group Homomorphisms poster for?

Group Homomorphisms belongs to the Mathematics section rather than to a school year, because math is not something one grade owns. Anyone learning abstract algebra can pin it up — a beginner, a student mid-course, or someone revising years later.

When should you use the Group Homomorphisms poster?

Testing whether a map between groups preserves anything worth preserving. A wall chart earns its place by being glanceable from where the work is happening, so Group Homomorphisms belongs on the wall where that math work actually happens, within glancing distance, rather than filed away.

What other posters go with Group Homomorphisms?

Common Finite Groups, Cosets & Normal Subgroups and Cyclic Groups sit alongside Group Homomorphisms in the Mathematics section. Printed together they make a wall rather than a single sheet, which is how a reference set actually gets used.Common Finite GroupsCosets & Normal SubgroupsCyclic Groups

Is the Group Homomorphisms poster free to download and print?

Yes. Group Homomorphisms downloads as a free PDF with no account, no email and no watermark, like everything else in the Mathematics section. Print as many copies as you like for a home, a classroom, a library or a tutoring group; reselling the file is the only thing the licence rules out.Read the licence

What size does the Group Homomorphisms poster print at?

Group Homomorphisms is a vector PDF laid out for US Letter, and prints on A4 with Fit to page — the same file, no separate download. Because every mark on it is drawn rather than photographed, it stays sharp enlarged to A3, A2 or A1 at a copy shop. Colour carries emphasis only, so a greyscale print of Group Homomorphisms loses nothing.Printing guide