# WLOG

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Math student

# 192 Questions

 11 How to prove that $\mathbb{Q}[\sqrt{p_1}, \sqrt{p_2}, \ldots \sqrt{p_n} ] = \mathbb{Q}[\sqrt{p_1}+ \sqrt{p_2}+\cdots + \sqrt{p_n}]$, for $p_i$ prime? 8 $x \otimes y - y \otimes x \neq 0$ in $I \otimes_{R} I$ 8 Proving the positivity of a twice-differentiable real-valued function 8 Compact space, locally finite subcover 7 Conjugacy classes of a $p$-group

# 5,217 Reputation

 +10 Number of subgroup of order $p^2$ in $\mathbb{Z}_{p^{2}} \times \mathbb{Z}_{p^{2}}$ +15 Application of Chinese remainder theorem +55 Prove a quotient group is abelian +10 Proving a complex function is continuous.

 6 Subgroups of $(\mathbb Z_n,+)$ 6 Sum of numbers on chessboard. 5 Limit of a sum of fractions 4 Prove a quotient group is abelian 4 Proving that a group $(G, \ast)$ is abelian if $x^3=x$ for all $x\in G$

# 134 Tags

 112 abstract-algebra × 178 15 modules × 39 71 group-theory × 76 14 linear-algebra × 17 20 finite-groups × 16 14 field-theory × 11 18 ring-theory × 51 14 combinatorics × 11 17 abelian-groups × 12 12 complex-analysis × 70

# 14 Accounts

 Mathematics 5,217 rep 21031 TeX - LaTeX 130 rep 5 Stack Overflow 126 rep 7 MathOverflow 118 rep 5 Server Fault 101 rep 1