Proving Order of Double Coset
13289
Order of Double Coset
113083
How to prove a set equality?
93501
Order of precedence of set operators
118595
Proving that a set is countable by finding a bijection
26398
Group of even order contains an element of order 2
18308
Coset multiplication giving a well defined binary operation
150156
Proving that $S_n$ has order $n!$
140106
How to prove a finite field is not ordered?
146356
To prove two sets are isomorphic is it sufficient to find 2 injections or 2 surjections?
77791
Proving an inclusion related to algebraic sets and interpreting it
91281
Proving the so-called "Well Ordering Principle"
65168
Proof of sequence inequality
115649
Proving two sets $A, B$ are order isomorphic
79380
How to find the order of a group generated by two elements?
33216
Prove that the order of an element in $S_n$ equals the least common multiple of the lengths of the cycles in its cycle decomposition.
91557
Show that total orders are maximal orders
5089
An element of a group has the same order as its inverse