U+22B3 Contains As Normal Subgroup
U+22B3 was added to Unicode in version 1.1 (1993). It belongs to the block
This character is a Math Symbol and is commonly used, that is, in no specific script.
The glyph is not a composition. It has a Neutral East Asian Width. In bidirectional context it acts as Other Neutral and is mirrored. Its corresponding mirrored glyph is
The Wikipedia has the following information about this codepoint:
In abstract algebra, a normal subgroup (also known as an invariant subgroup or self-conjugate subgroup) is a subgroup that is invariant under conjugation by members of the group of which it is a part. In other words, a subgroup N {displaystyle N} of the group G {displaystyle G} is normal in G {displaystyle G} if and only if g n g − 1 ∈ N {displaystyle gng^{-1}in N} for all g ∈ G {displaystyle gin G} and n ∈ N . {displaystyle nin N.} The usual notation for this relation is N ◃ G . {displaystyle N riangleleft G.}
Normal subgroups are important because they (and only they) can be used to construct quotient groups of the given group. Furthermore, the normal subgroups of G {displaystyle G} are precisely the kernels of group homomorphisms with domain G , {displaystyle G,} which means that they can be used to internally classify those homomorphisms.
Évariste Galois was the first to realize the importance of the existence of normal subgroups.
Representations
System | Representation |
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Nº | 8883 |
UTF-8 | E2 8A B3 |
UTF-16 | 22 B3 |
UTF-32 | 00 00 22 B3 |
URL-Quoted | %E2%8A%B3 |
HTML-Escape | ⊳ |
Wrong windows-1252 Mojibake | ⊳ |
HTML-Escape | ⊳ |
HTML-Escape | ⊳ |
HTML-Escape | ⊳ |
LATEX | \vartriangleright |
Related Characters
Confusables
Elsewhere
Complete Record
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1.1 (1993) | |
CONTAINS AS NORMAL SUBGROUP | |
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