Should be used with the (group-theory) tag. A group $(G,*)$ is said to be abelian if $a*b=b*a$ for all $a,b\in G.$
Stats
created |
10 months ago |
viewed |
19 times |
editors |
0 |
Recent Hot Answers
If $ G $ has no non-trivial automorphism, then $ G $ is abelian and $ g^2 = e $ for all $ g \in G $ .Number of Abelian Groups of Order 256
Abelian Group Question: Why is $e^n e^m = e$
Cyclic subgroups of $GL_2(\mathbb{Z}/p\mathbb{Z})$?
If the order of a finite abelian group is not divisible by a square, show that the group must be cyclic.
more »
Related Tags
group-theory × 222abstract-algebra × 120
finite-groups × 81
homework × 29
category-theory × 13
modules × 13
homological-algebra × 11
cyclic-groups × 10
ring-theory × 7
linear-algebra × 6
representation-theory × 5
field-theory × 5
free-groups × 4
p-groups × 4
commutative-algebra × 4
reference-request × 4
algebraic-topology × 3
locally-compact-groups × 3
number-theory × 3
characters × 3
combinatorics × 3
elementary-set-theory × 3
algebraic-geometry × 2
proof-strategy × 2
fourier-analysis × 2
