This volume introduces the elementary theory of groups of permutations and shows how these ideas build toward the study of primitive and transitive groups. It blends concrete examples with the underlying structure of group actions, offering a practical path from simple substitutions to deeper algebraic concepts.

Learn how permutations are formed, composed, and analyzed, including cycles, powers, and inverses.
See how groups can be decomposed into components and how Hermitian forms reveal invariant structures.
Explore the transition from elementary permutation theory to the theory of primitive and transitive groups.
Discover how linear substitutions and abstract group ideas connect to concrete permutation problems.

Ideal for students beginning abstract algebra and readers seeking a rigorous, application‑minded treatment of permutation groups and their symmetries.

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