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1. Subgroup: A non-empty subset $H$ of a group $G$ which itself is a group with respect to the operation defined on $G$. A subset $H$ of a group $G$ is a subgroup of $G$ if and only if: 1) $H ... (Mathematics) [100%] 2024-01-26
2. Subgroup: In group theory, a branch of mathematics, given a group G under a binary operation ∗, a subset H of G is called a subgroup of G if H also forms a group under the operation ∗. More precisely, H is a ... (Subset of a group that forms a group itself) [100%] 2024-01-26 [Group theory] [Subgroup properties]...
3. Subgroup: In group theory, a subgroup of a group is a subset which is itself a group with respect to the same operations. Formally, a subset S of a group G is a subgroup if it satisfies the following conditions: These ... [100%] 2023-10-25
4. Subgroup: A non-empty subset $H$ of a group $G$ which itself is a group with respect to the operation defined on $G$. A subset $H$ of a group $G$ is a subgroup of $G$ if and only if: 1) $H ... (Mathematics) [100%] 2023-10-21
5. Subgroup: In group theory, a branch of mathematics, given a group G under a binary operation ∗, a subset H of G is called a subgroup of G if H also forms a group under the operation ∗. More precisely, H is a ... (Subset of a group that forms a group itself) [100%] 2023-12-30 [Group theory] [Subgroup properties]...
6. .properties: .properties (от англ. properties — свойства, параметры) — текстовый формат и одноимённое расширение имени файла. [95%] 2024-01-04
7. Properties: Properties are those entities that can be predicated of things or, in other words, attributed to them. Thus, properties are often called predicables. (Philosophy) [95%] 2022-05-04
8. .properties: .properties是一种主要在Java相关技术中用来存储应用程序的可配置参数的文件的文件扩展名。它们也可以存储用于国际化和本地化的字符串，这种文件被称为属性资源包（Property Resource Bundles）。 每个参数被存储为一对字符串：一个存储名称参数（被称为“键”），另一个存储值。 每个.properties 文件中的行通常存储单个属性。对于每一行可能有这么几种格式，包括键=值，键 = 值，键:值，以及键 值。 .properties文件可以使用井号（#）或叹号（!）作为一行中第一个非空白字符来表示它后面的所有文本都是一个注释。反斜杠（\）用于转义字符。下面提供一个属性文件的示例。 site是一个键，它对应的值是http://en.wikipedia.org/。而数字符号和感. [95%] 2025-04-05 [文件格式] [配置文件]...
9. Propertius: Sextus Propertius was ’n Latynse treurdigter uit die Augustynse tydperk. Hy is tussen 50 en 45 v.C. [85%] 2024-01-03
10. Supagroup: Supagroup es una banda de Hard Rock estadounidense proveniente de Nueva Orleans, Louisiana, Estados Unidos. Su alineación consiste en el vocalista y guitarrista Chris Lee, el guitarrista Benji Lee, el bajista Brewer Brian Broussard y el baterista Leon Touzet.​ Chris ... [75%] 2024-01-26
11. Supagroup: Supagroup es una banda de Hard Rock estadounidense proveniente de Nueva Orleans, Louisiana, Estados Unidos. Su alineación consiste en el vocalista y guitarrista Chris Lee, el guitarrista Benji Lee, el bajista Brewer Brian Broussard y el baterista Leon Touzet.​ Chris ... [75%] 2023-12-29
12. Verbal subgroup: The subgroup $ V( G) $ of a group $ G $ generated by all possible values of all words (cf. Word) of some set $ V = \{ {f _ \nu ( x _ {1} \dots x _ {n _ \nu } ) } : {\nu \in I } \} $, when $ x _ ... (Mathematics) [70%] 2023-10-17
13. Characteristic subgroup: A subgroup of a group $G$ that is invariant under all automorphisms of $G$. Examples of characteristic subgroups are the centre of a group, denoted by $Z(G)$, the Fitting subgroup, $F(G)$, the commutator subgroup, $D(G)$, $[G,G ... (Mathematics) [70%] 2023-10-17
14. Parabolic subgroup: A parabolic subgroup of a linear algebraic group $G$ defined over a field $k$ is a subgroup $P\subset G$, closed in the Zariski topology, for which the quotient space $G/P$ is a projective algebraic variety. A subgroup $P ... (Mathematics) [70%] 2023-12-30
15. Subgroup system: A set $ \mathfrak A $ of subgroups (cf. Subgroup) of a group $ G $ satisfying the following conditions: 1) $ \mathfrak A $ contains the unit subgroup $ 1 $ and the group $ G $ itself; and 2) $ \mathfrak A $ is totally ordered by inclusion, i.e. (Mathematics) [70%] 2023-10-24
16. Commutator subgroup: The commutator subgroup of a group $G$, also called the derived group, second term of the lower central series, of $G$, is the subgroup of $G$ generated by all commutators of the elements of $G$ (cf. Commutator). (Mathematics) [70%] 2023-08-16
17. Congruence subgroup: In mathematics, a congruence subgroup of a matrix group with integer entries is a subgroup defined by congruence conditions on the entries. A very simple example would be invertible 2 × 2 integer matrices of determinant 1, in which the off ... (Matrix group) [70%] 2023-04-16 [Modular forms] [Discrete groups]...
18. Puig subgroup: In mathematical finite group theory, the Puig subgroup, introduced by Puig (1976), is a characteristic subgroup of a p-group analogous to the Thompson subgroup. If H is a subgroup of a group G, then LG(H) is the subgroup ... [70%] 2023-12-02 [Finite groups]
19. Subgroup series: A subgroup series of a group $G$ is a finite chain of subgroups of $G$ contained in each other: $$E=G_0\subseteq G_1\subseteq \cdots \subseteq G_n=G\label{1}$$ or $$G=G_1\supseteq G_2\supseteq \cdots \supseteq G_{n ... (Mathematics) [70%] 2023-12-29
20. Frattini subgroup: In group theory, the Frattini subgroup is the intersection of all maximal subgroups of a group. Formally, where M runs over all maximal subgroups of G. [70%] 2023-09-10