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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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  • 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 Definition Meaning - Merriam-Webster
    The meaning of SUBGROUP is a subordinate group whose members usually share some common differential quality
  • Subgroup and Order of Group | Mathematics - GeeksforGeeks
    Within a group, a subgroup is a subset that also forms a group under the same operation, while the order of a group is the total number of elements it contains
  • Subgroup - from Wolfram MathWorld
    A subgroup is a subset H of group elements of a group G that satisfies the four group requirements under the inherited group operation It must therefore contain the identity element
  • 3. 3: Subgroups - Mathematics LibreTexts
    The subgroup $H=\{e\}$ of a group $G$ is called the trivial subgroup A subgroup that is a proper subset of $G$ is called a proper subgroup In many of the examples that we have investigated up to this point, there exist other subgroups besides the trivial and improper subgroups
  • 4. 1: Introduction to Subgroups - Mathematics LibreTexts
    Sometimes groups are too complicated to understand directly One method that can be used to identify a group's structure is to study its subgroups A subgroup of a group $G$ is a subset of $G$ that is also a group under $G$ 's operation
  • SUBGROUP | English meaning - Cambridge Dictionary
    SUBGROUP definition: 1 a smaller group that is in some way different from the larger group to which it belongs: 2 a… Learn more
  • Subgroup | Overview Research Examples - Perlego
    A subgroup is a subset of a group that retains the same algebraic structure as the original group It is closed under the group operation and contains the identity element and the inverse of each of its elements
  • Sylow theorems - Wikipedia
    In mathematics, specifically in the field of finite group theory, the Sylow theorems are a collection of theorems named after the Norwegian mathematician Peter Ludwig Sylow [1] that give detailed information about the number of subgroups of fixed order that a given finite group contains
  • What Does subgroup Mean? Definition Examples - Dictionary. net
    A subgroup is a specialized subset that retains the structural properties of the entire group, while a generic subset does not necessarily adhere to these structural conditions





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