The difference between Category and Group
When used as nouns, category means a group, often named or numbered, to which items are assigned based on similarity or defined criteria, whereas group means a number of things or persons being in some relation to one another.
Group is also verb with the meaning: to put together to form a group.
check bellow for the other definitions of Category and Group
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Category as a noun:
A group, often named or numbered, to which items are assigned based on similarity or defined criteria.
Examples:
"This steep and dangerous climb belongs to the most difficult category."
"I wouldn't put this book in the same category as the author's first novel."
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Category as a noun (mathematics):
A collection of objects, together with a transitively closed collection of composable arrows between them, such that every object has an identity arrow, and such that arrow composition is associative.
Examples:
"One well-known category has sets as objects and functions as arrows."
"Just as a monoid consists of an underlying set with a binary operation "on top of it" which is closed, associative and with an identity, a [[category]] consists of an underlying digraph with an arrow composition operation "on top of it" which is transitively closed, associative, and with an identity at each object. In fact, a [[category]]'s composition operation, when restricted to a single one of its objects, turns that object's set of arrows (which would all be loops) into a monoid."
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Group as a noun:
A number of things or persons being in some relation to one another.
Examples:
"there is a group of houses behind the hill; he left town to join a Communist group'"
"A group of people gathered in front of the Parliament to demonstrate against the Prime Minister's proposals."
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Group as a noun (group theory):
A set with an associative binary operation, under which there exists an identity element, and such that each element has an inverse.
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Group as a noun (geometry, archaic):
An effective divisor on a curve.
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Group as a noun:
A (usually small) group of people who perform music together.
Examples:
"Did you see the new jazz group?"
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Group as a noun (astronomy):
A small number (up to about fifty) of galaxies that are near each other.
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Group as a noun (chemistry):
A column in the periodic table of chemical elements.
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Group as a noun (chemistry):
A functional group.
Examples:
"Nitro is an electron-withdrawing group."
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Group as a noun (sociology):
A subset of a culture or of a society.
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Group as a noun (military):
An air force formation.
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Group as a noun (geology):
A collection of formations or rock strata.
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Group as a noun (computing):
A number of users with same rights with respect to accession, modification, and execution of files, computers and peripherals.
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Group as a noun:
An element of an espresso machine from which hot water pours into the portafilter.
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Group as a noun (music):
A number of eighth, sixteenth, etc., notes joined at the stems; sometimes rather indefinitely applied to any ornament made up of a few short notes.
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Group as a noun (sports):
A set of teams playing each other in the same division, while not during the same period playing any teams that belong to other sets in the division.
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Group as a noun (business):
A commercial organization.
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Group as a verb (transitive):
To put together to form a group.
Examples:
"group the dogs by hair colour"
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Group as a verb (intransitive):
To come together to form a group.
Compare words:
Compare with synonyms and related words:
- category vs class
- category vs family
- category vs genus
- category vs group
- category vs kingdom
- category vs order
- category vs phylum
- category vs race
- category vs tribe
- category vs type
- collection vs group
- group vs set
- band vs group
- ensemble vs group
- group vs monoid
- amass vs group
- categorise vs group
- categorize vs group
- classify vs group
- collect vs group
- collect up vs group
- gather vs group
- gather up vs group
- assemble vs group
- begather vs group
- foregather vs group
- group vs throng