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subgroup    音标拼音: [s'ʌbgr,up]
n. 小群,隶属的小组织,子群

小群,隶属的小组织,子群

subgroup
子群

subgroup
n 1: a distinct and often subordinate group within a group
2: (mathematics) a subset (that is not empty) of a mathematical
group

Subgroup \Sub"group`\, n. (Biol.)
A subdivision of a group, as of animals. --Darwin.
[1913 Webster]


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英文字典中文字典相关资料:


  • Subgroup - Wikipedia
    If S is a subset of G, then there exists a smallest subgroup containing S, namely the intersection of all of subgroups containing S; it is denoted by S and is called the subgroup generated by S
  • Subgroup and Order of Group | Mathematics - GeeksforGeeks
    Every group has two trivial subgroups, the subgroup containing just the identity element and the group itself These are the smallest and largest subgroups, respectively
  • Search - 3. 3: Subgroups - Mathematics LibreTexts
    Observe that every group G with at least two elements will always have at least two subgroups, the subgroup consisting of the identity element alone and the entire group itself
  • Subgroup - from Wolfram MathWorld
    The order of any subgroup of a group of order h must be a divisor of h A subgroup H of a group G that does not include the entire group G itself is known as a proper subgroup, denoted H subset G or H<G
  • Math 103A – Modern algebra I Lecture 6: Subgrou
    ion, then H is called a subgroup of G The notation H ≤ G means “H is a subgroup of G”, and H < G means “H is a proper su group of G” (in other words, H ≤ G but H 6= G) Rephrasing the above with this new terminology, we have that (Z, +) is a subgroup of
  • SUBGROUP Definition Meaning - Merriam-Webster
    The meaning of SUBGROUP is a subordinate group whose members usually share some common differential quality
  • Subgroups Definition - BYJUS
    What is the definition of a subgroup? A subgroup is a subset of a group that itself is a group That means, if H is a non-empty subset of a group G, then H is called the subgroup of G if H is a group
  • Subgroup | Brilliant Math Science Wiki
    A subgroup of a group G G is a subset of G G that forms a group with the same law of composition For example, the even numbers form a subgroup of the group of integers with group law of addition
  • Subgroups Explained Simply - Andrea Minini
    A subgroup of a group (G,*) is a group (S,*) that is contained within (G,*), closed under the same operation * of the group (G,*), $$ *:S \rightarrow S $$ and satisfies all the group properties (identity element, inverse elements, associativity)
  • 9. 1 Subgroups | Introduction to Pure Mathematics - Bookdown
    A subgroup of a group G G is a subset H ⊆ G H ⊆ G that is itself a group with the same operation as G G We sometimes write H ≤ G H ≤ G It is important that the group operation is the same





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