U+22CC Right Semidirect Product
U+22CC 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 mathematics, specifically in group theory, the concept of a semidirect product is a generalization of a direct product. It is usually denoted with the symbol ⋉. There are two closely related concepts of semidirect product:
- an inner semidirect product is a particular way in which a group can be made up of two subgroups, one of which is a normal subgroup.
- an outer semidirect product is a way to construct a new group from two given groups by using the Cartesian product as a set and a particular multiplication operation.
As with direct products, there is a natural equivalence between inner and outer semidirect products, and both are commonly referred to simply as semidirect products.
For finite groups, the Schur–Zassenhaus theorem provides a sufficient condition for the existence of a decomposition as a semidirect product (also known as splitting extension).
Representations
System | Representation |
---|---|
Nº | 8908 |
UTF-8 | E2 8B 8C |
UTF-16 | 22 CC |
UTF-32 | 00 00 22 CC |
URL-Quoted | %E2%8B%8C |
HTML hex reference | ⋌ |
Wrong windows-1252 Mojibake | ⋌ |
HTML named entity | ⋌ |
HTML named entity | ⋌ |
Encoding: GB18030 (hex bytes) | 81 36 E2 33 |
LATEX | \rightthreetimes |
Related Characters
Elsewhere
Complete Record
Property | Value |
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1.1 (1993) | |
RIGHT SEMIDIRECT PRODUCT | |
— | |
Mathematical Operators | |
Math Symbol | |
Common | |
Other Neutral | |
Not Reordered | |
none | |
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✘ | |
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✘ | |
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✘ | |
✘ | |
✘ | |
✔ | |
✘ | |
✘ | |
✘ | |
✘ | |
✘ | |
✘ | |
✘ | |
✘ | |
✘ | |
✘ | |
✘ | |
✘ | |
✘ | |
✘ | |
✘ | |
✘ | |
✘ | |
✘ | |
✘ | |
✘ | |
✘ | |
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Any | |
✔ | |
✘ | |
✘ | |
✘ | |
✘ | |
✘ | |
✘ | |
✘ | |
✘ | |
0 | |
0 | |
0 | |
✘ | |
None | |
— | |
NA | |
Other | |
— | |
✘ | |
✘ | |
✘ | |
✔ | |
✘ | |
Yes | |
Yes | |
|
|
Yes | |
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Yes | |
✘ | |
✘ | |
✘ | |
✘ | |
✘ | |
✘ | |
✘ | |
✘ | |
✘ | |
✔ | |
✘ | |
✘ | |
✘ | |
✘ | |
Other | |
✘ | |
✘ | |
✘ | |
✘ | |
✘ | |
Other | |
✘ | |
✘ | |
✘ | |
✘ | |
✘ | |
✘ | |
✘ | |
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None | |
neutral | |
Not Applicable | |
— | |
No_Joining_Group | |
Non Joining | |
Alphabetic | |
none | |
not a number | |
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R |