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Math 6310 • Algebra

Spring 2019 • Question 3

Question

Math 6310 • Algebra Spring 2019 • Question 3

Let \(S_n\) denote the symmetric group on \(n\) elements. Does there exist an injective homomorphism \(S_6\longrightarrow S_5\times S_5\)?

Raw LaTeX

Let \(S_n\) denote the symmetric group on \(n\) elements. Does there exist an injective
homomorphism \(S_6\longrightarrow S_5\times S_5\)?

Topic Tags

Hom Functors and Module Homomorphisms Polynomial Rings and Ring Homomorphism Kernels Symmetric and Alternating Groups

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