Intereting Posts

Count number of exact matching sequences
Every Real number is expressible in terms of differences of two transcendentals
If $f_n \to f$ uniformly from $ \to \Bbb R$, every $f_n$ is continuous and each $f_n$ has a zero, then $f$ has a zero.
prove Taylor of $R(a)$ converges $R$ but its sum equals $R(a)$ for $a$ in interval.Which interval? Pls I'm glad to give an idea or hint?:
Is the complement of the closed unit disk in the plane homeomorphic with $\mathbb R^2\setminus \{(0,0)\} $ ?
I need help with a double sum
Uniqueness of minimizing geodesic $\Rightarrow$ uniqueness of connecting geodesic?
Comparison theorem for systems of ODE
Order of product of two elements in a group
How many digits does the integer zero have?
About the ways prove that a ring is a UFD.
Every element in a ring with finitely many ideals is either a unit or a zero divisor.
Suppose $f: \Rightarrow \mathbb{R}$ is continuous and $\int_0^x f(x)dx = \int_x^1 f(x)dx$. Prove that $f(x) = 0$ for all $x$
Subgroup generated by a set
What is the principal cubic root of $-8$?

Anyone has a good recommendation of a free pdf book on group theory?

I am specially interested in its application for computer science, however, I do not want it to be less mathematically rigorous just because of that.

I found one that was good, but it only dealt with commutative groups throught the text 🙁

- Stochastic Processes Solution manuals.
- Advanced beginners textbook on Lie theory from a geometric viewpoint
- Logic and set theory textbook for high school
- Good book for self study of functional analysis
- Book recommendation for ordinary differential equations
- Reference request: calculus of variations

- Why $PSL_3(\mathbb F_2)\cong PSL_2(\mathbb F_7)$?
- Non isomorphic groups who product with Z is isomorphic
- Minimum size of the generating set of a direct product of symmetric groups
- If $|G| = p^n$ then $G$ has a subgroup of order $p^m$ for all $0\le m <n.$
- Transitive subgroup of symmetric group
- $\text{Aut}(F)$ is isomorphic to the multiplicative group of all $n\times n$ matrices over $\mathbb Z$
- Good books on Philosophy of Mathematics
- Which non-Abelian finite groups contain the two specific centralizers? - part II
- Example of an infinite group where every element except identity has order 2
- What is needed to make Euclidean spaces isomorphic as groups?

We used this (Judson) in my Algebra class. It’s pretty good and offers numerous computational exercises using Sage and has sections on cryptography and other computational topics. I enjoyed it.

Note that this text covers more than just group theory and goes into rings, fields, modules, etc. It is meant as a first (and second) course in Algebra text.

If you are fearless, Milne’s notes on group theory are pretty good (they are meant to a first year graduate-level course in mathematics): http://www.jmilne.org/math/CourseNotes/gt.html

There are online copies of Artin’s Algebra 2nd Ed

Have you ever seen this?

Schaum’s outline of theory and problems of group theory

- Probability distribution for finding two values in stages
- The first Stiefel-Whitney class is zero if and only if the bundle is orientable
- No solvable subgroups of $\operatorname{SL}_2(\mathbf Z)$ of finite index
- Real domain and range function to find all functions with nonzero x.
- How to get a reflection vector?
- Maximum absolute value of polynomial coefficients
- Proof that the product of two differentiable functions is also differentiable
- prove: A finitely generated abelian group can not be isomorphic to a proper quotient group of itself.
- Probability that two people see each other at the coffee shop
- importance of implication vs its tautology
- Prime matrix rings
- Solution to the second order differential equation
- Radical integral question calculus
- Puiseux Series?
- For what value of h the set is linearly dependent?