Ring:Z4
From Groupprops
Definition
This ring, denoted or
, is defined as the quotient of the ring of integers by the multiples of
.
Note that the symbols and
are also used for the additive group of this ring, which is the cyclic group of order four.
Related groups
Group functor | Value | Explanation |
---|---|---|
additive group | cyclic group:Z4 | (4,1) |
multiplicative group | cyclic group:Z2 | (2,1) |
general linear group of degree two | general linear group:GL(2,Z4) | (96,195) |
special linear group of degree two | special linear group:SL(2,Z4) | (48,30) |
GAP implementation
The ring can be defined using GAP's ZmodnZ function:
ZmodnZ(4)