- set of G into disjoint, equal-size
subsets called cosets.
There are left
cosets and
right cosets.
Cosets (both left and right) have the same
number of elements...
- In
group theory, a
field of mathematics, a
double coset is a
collection of
group elements which are
equivalent under the
symmetries coming from two subgroups...
-
correspond to the left
cosets G/Ho, and the
marked point o
corresponds to the
coset of the identity. Conversely,
given a
coset space G/H, it is a homogeneous...
- In mathematics,
coset enumeration is the
problem of
counting the
cosets of a
subgroup H of a
group G
given in
terms of a presentation. As a by-product...
- In
coding theory, a
coset leader is a word of
minimum weight in any
particular coset - that is, a word with the
lowest amount of non-zero entries. Sometimes...
- the area of
mathematics called combinatorial group theory, the
Schreier coset graph is a
graph ****ociated with a
group G, a
generating set S={si : i in...
-
subgroup H in a
group G is the
number of left
cosets of H in G, or equivalently, the
number of
right cosets of H in G. The
index is
denoted | G : H | {\displaystyle...
- the
original group, and the
other equivalence classes are
precisely the
cosets of that
normal subgroup. The
resulting quotient is
written G / N {\displaystyle...
- repeated,
generating the
whole coset S k − 1 τ 1 {\displaystyle S_{k-1}\tau _{1}} ,
reaching the last
permutation in that
coset λ k − 1 τ 1 {\displaystyle...
- {\displaystyle H_{3}^{+}=SL(2,\mathbb {C} )/SU(2)} is not a group, but a
coset.
Given a
simple representation ρ {\displaystyle \rho } of the Lie algebra...
