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Everstudent
  • Member for 1 year, 10 months
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6 votes
4 answers
891 views

Proof that $|HK|=|H||K|/|H \cap K|$ for $H,K,HK$ subgroups of $G$

5 votes
1 answer
633 views

A group $G$ has a finite number of subgroups if and only if $G$ is finite.

3 votes
1 answer
104 views

Short proof that if a and b of a group G commute then an element of order lcm(o(a),o(b) exists in G

2 votes
1 answer
84 views

Equivalent definitions for a Normalizer of a Subgroup

2 votes
1 answer
36 views

Prove that $|\{N(H)k : k \in K\}|$ divides $|K|$ for $H$,$K$ subgroups of a finite group $G$ without using Quotient groups

1 vote
1 answer
51 views

Group homomorphism from $F(R)$ to $R$ which sends $f$ to $f(1)$.

1 vote
0 answers
134 views

Building an bijection between the orbit of u and the cosets of the stabilizer of u

1 vote
2 answers
253 views

Group Action notation and understanding

-1 votes
1 answer
406 views

Picking the right Abstract Algebra introduction book for the purpose of learning Cryptocurrencies(Zero-Knowledge Proofs and Cryptography) [closed]