U+22B4 Normal Subgroup of Or Equal To
U+22B4 was added in Unicode version 1.1 in 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 no designated width in East Asian texts. In bidirectional text it acts as Other Neutral. When changing direction it is mirrored into
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 of the group is normal in if and only if for all and The usual notation for this relation is
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 are precisely the kernels of group homomorphisms with domain 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 |
---|---|
Nº | 8884 |
UTF-8 | E2 8A B4 |
UTF-16 | 22 B4 |
UTF-32 | 00 00 22 B4 |
URL-Quoted | %E2%8A%B4 |
HTML hex reference | ⊴ |
Wrong windows-1252 Mojibake | ⊴ |
HTML named entity | ⊴ |
HTML named entity | ⊴ |
HTML named entity | ⊴ |
LATEX | \trianglelefteq |
Related Characters
Elsewhere
Complete Record
Property | Value |
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1.1 (1993) | |
NORMAL SUBGROUP OF OR EQUAL TO | |
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Mathematical Operators | |
Math Symbol | |
Common | |
Other Neutral | |
Not Reordered | |
none | |
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✘ | |
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Any | |
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0 | |
0 | |
0 | |
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None | |
— | |
NA | |
Other | |
— | |
✘ | |
✘ | |
✔ | |
✘ | |
Yes | |
Yes | |
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Yes | |
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Yes | |
✘ | |
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Other | |
✘ | |
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Other | |
✘ | |
✘ | |
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✘ | |
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None | |
neutral | |
Not Applicable | |
— | |
No_Joining_Group | |
Non Joining | |
Alphabetic | |
none | |
not a number | |
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R |