The Genesis of the Abstract Group Concept: A Contribution to the History of the Origin of Abstract Group Theory.

1986 ◽  
Vol 93 (10) ◽  
pp. 823
Author(s):  
Karen Hunger Parshall ◽  
Hans Wussing ◽  
Abe Shenitzer
Keyword(s):  
Group Theory ◽  
Abstract Group ◽  
History Of ◽  
Group Concept

The History, Classes and Presentations of Groups

2012 ◽  
Vol 430-432 ◽  
pp. 834-837
Author(s):  
Xiao Qiang Guo ◽  
Zheng Jun He
Keyword(s):  
Group Theory ◽  
Algebraic Groups ◽  
Transformation Groups ◽  
Combinatorial Group Theory ◽  
Algebraic Equations ◽  
Historical Sources ◽  
Matrix Groups ◽  
History Of ◽  
History Classes ◽  
Combinatorial Group

First we introduce the history of group theory. Group theory has three main historical sources: number theory, the theory of algebraic equations, and geometry. Secondly, we give the main classes of groups: permutation groups, matrix groups, transformation groups, abstract groups and topological and algebraic groups. Finally, we give two different presentations of a group: combinatorial group theory and geometric group theory.

Group Dynamics

2013 ◽  
Author(s):  
Mark J. Macgowan
Keyword(s):  
Group Theory ◽  
Social Integration ◽  
Small Group ◽  
Group Dynamics ◽  
Group Work ◽  
Interpersonal Attraction ◽  
Group Development ◽  
Work Practice ◽  
History Of ◽  
Race Ethnicity

This entry is an overview of group dynamics relevant for group work practice. The history of small group theory and group dynamics is described. The bulk of the entry is dedicated to discussing four main areas of group dynamics: communication and interaction, interpersonal attraction and cohesion, social integration (power, influence, norms, roles, status), and group development. How these might vary according to gender, race, ethnicity, and culture is included. The entry ends with a discussion of trends and needs for further research.

Arthur Cayley and the Abstract Group Concept

2005 ◽  
Vol 78 (4) ◽  
pp. 269 ◽  
Author(s):  
Sujoy Chakraborty ◽  
Munibur Rahman Chowdhury
Keyword(s):  
Abstract Group ◽  
Group Concept

scholarly journals Profil Pemahaman Konseptual Mahasiswa Calon Guru Matematika tentang Grup Ditinjau dari Kemampuan Matematika

2019 ◽  
Vol 6 (2) ◽  
pp. 84-97
Author(s):  
Hanim Faizah
Keyword(s):  
Group Theory ◽  
Grade Point Average ◽  
Conceptual Understanding ◽  
Research Subjects ◽  
Grade Point ◽  
Mathematical Abilities ◽  
Group Concept

Many students have not mastered the concept of group theory well. Hence, the researcher intended to describe the conceptual understanding of group theory based on the student’s mathematical abilities. The implementation of this research begun with the students studied about Group Theory classically. Next, to examine the mathematical abilities of students, the researcher administered the questionnaire to obtain the data about the GPA (Grade Point Average) of students. Then, the researcher chose the participants of this study based on the high, middle, and low GPA. The selected research subjects were then given test questions that had been validated by the experts. Data was analyzed using the indicators of conceptual understanding, namely: (1) explaining or restate the group concept, (2) providing an example and a nonexample, (3) using group concept to solve the problem. The results showed that the students with high mathematical abilities reached three indicators of conceptual understanding perfectly. Students with medium mathematical abilities reached two indicators of conceptual understanding but it was not perfect, she did not write the answer completely. In addition, students with low mathematical abilities could not do the test at all, he could not write the group correctly. He did not reach any indicators of conceptual understanding, thus, it can be concluded that the students with low mathematical abilities did not understand the concept well.

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