Math Problem Statement

Let 𝐺 be a group of order 52 = 4 ⋅ 13.

  1. How many subgroups of order 13 does 𝐺 have?

Solution

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Math Problem Analysis

Mathematical Concepts

Group Theory
Sylow Theorems
Subgroup

Formulas

-

Theorems

First Sylow Theorem

Suitable Grade Level

Advanced Undergraduate