Step by step solution to "Write γ=(124)(425)(64) as a product of disjoint cycles."

College
Algebra
Abstract algebra

Erik Sears

Answered question

2022-03-01

Write

γ = (124) (425) (64)

as a product of disjoint cycles.

Answer & Explanation

Jocelyn Harwood

Beginner2022-03-02Added 8 answers

We need to write $γ = (124) (425) (64)$ as a product of disjoint cycles.
Here, $γ = (\begin{matrix} 1 & 2 & 4 \\ 2 & 4 & 1 \end{matrix}) (\begin{matrix} 4 & 2 & 5 \\ 2 & 5 & 4 \end{matrix}) (\begin{matrix} 6 & 4 \\ 4 & 6 \end{matrix})$
$= (\begin{matrix} 1 & 2 & 3 & 4 & 5 & 6 \\ 2 & 5 & 3 & 6 & 1 & 4 \end{matrix})$
$= (125) (3) (46)$
Answer:
$= (125) (46)$

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