In this paper, the most important liner groups are classified. Those that we often have the opportunity to meet when studying linear groups as well as their application in left groups. In addition to the introductory part, we have general linear groups, special linear groups, octagonal groups, symplicit groups, cyclic groups, dihedral groups: generators and relations. The paper is summarized with brief deficits, examples and evidence as well as several problems. When you ask why this paper, I will just say that it is one of the ways I contribute to the community and try to be a part of this little world of science.
References
[1]
Carrell, J.B. (2017) Groups, Matrices, and Vector Spaces. Department of Mathematics University of British Columbia Vancouver, BC Canada. http://www.uop.edu.pk/ocontents/Groups,%20Matrices,%20and%20Vector%20Spaces%20A%20Group%20Theoretic%20Approach%20to%20Linear%20Algebra.pdf
[2]
Grillet, P.A. (2007) Abstract Algebra. Department of Mathematics Tulane University USA. http://dobrochan.ru/src/pdf/1204/Grillet_P._A._-_Abstract_Algebra_(2007)(684).pdf
[3]
Goodman, R. and Wallach, N.R. (2009) Symmetry, Representations, and Invariants. Department of Mathematics, Rutgers University of California, San Diego Piscataway. https://www.maths.ed.ac.uk/~v1ranick/papers/goodwallx.pdf
[4]
Hall. B.C. (2000) An Elementary Introduction to Groups and Representations. University of Notre Dame, Department of Mathematics, Notre Dame. https://arxiv.org/abs/math-ph/0005032
[5]
Agargun, A.G. and Uzdag, H. (2007) Linear Algebra and Calculus Problems. Yildiz Teknik University, Turkey. https://www.cimri.com/kaynak-kitaplari/en-ucuz-lineer-cebir-ve-cozumlu-problemleri-a-goksel-agargunhulya-ozdag-9781111138769-fiyatlari,528793
[6]
Baker, A. (1953) Matrix Groups an Introduction to Lie Group Theory (Library of Congress Cataloging-in-Publication Data Baker, Andrew, 1953), Department of Mathematics, University of Glasgow, Glasgow, USA. http://inis.jinr.ru/sl/vol1/UH/_Ready/Mathematics/Algebra/Baker%20A.%20Matrix%20groups,%20an%20introduction%20to%20Lie%20groups%20(Springer,%202002)(L)(173s).pdf
