理想的运算
2021-10-04 / Tuo Wang
抽象代数环论理想的运算……
没有非平凡单边理想的环
2021-10-03 / Tuo Wang
抽象代数环论没有非平凡单边理想的环……
有1环中1-ab的逆元问题
2021-10-02 / Tuo Wang
抽象代数环论有1环中1-ab的逆元问题定理设R是一个有一环，$a,b\in R$，则$1-ab可逆 \iff 1-ba可逆$……
环中元素不止含有一个单边逆元的有关问题
2021-10-01 / Tuo Wang
抽象代数环论环中元素不止含有一个单边逆元的有关问题命题……
直积群中元素阶的问题
2021-09-12 / Tuo Wang
抽象代数群论直积群中元素阶的问题基本原理……
Sylow 定理的一些简单应用
2021-09-11 / Tuo Wang
抽象代数群论Sylow 定理的一些简单应用……
Group actions and some applications
2021-09-10 / Tuo Wang
Group actions and some applications……
Group actions and some applications
2021-09-10 / Tuo Wang
Abstract algebraGroup theoryGroup actions and some applications……
Some methods to prove that alternating group of degree 4 contains no subgroup of order 6
2021-09-09 / Tuo Wang
Some methods to prove that $A_4$ contains no subgroup of order 6……
Some methods to prove that alternating group of degree 4 contains no subgroup of order 6
2021-09-09 / Tuo Wang
Some methods to prove that $A_4$ contains no subgroup of order 6.Definition 1Let $\sigma$ be a permutation in $S_n$ , write $\sigma$ as the product of disjoint cycles , and the form of $\sigma$ is said to be $1^{\lambda_1}2^{\lambda_2}\cdots n^{\lambda_r}$ if there are $\lambda_r$ cycles of length $r$,($1\le r\le n$).
Example 1The form of the permutation $\sigma=(1\quad 2\quad 3)(4\quad 5) $ in $ S_7$ is $1^22^13^14^05^06^07^0=1^22^13^1$……