GROUPS WITH REPRESENTATION < a,b;a n = 1,ab = b³a³>

Abstract

Established that for n = 4 and n ≥ 7 group G(n) = < a,b;a^n = 1,ab = b³a³> are infinite, and for the remaining n evaluated the procedure and investigate the structure of the group G(n).

Authors and Affiliations

Alexander Goryshkin

Keywords

Related Articles

ON THE UNIQNESS OF TRICOMI PROBLEM ANALOGUE FOR MIXED TYPE EQUATION WITH TWO DEGENERATED PARALLEL LINES

In this paper the solution uniqness toTricomi problem analogue for the mixed type equation in a do-main containing two parallel lines with parabolic degeneration.

SPECTRAL PROBLEMS FOR THREE-DIMENSIONAL ELLIPTIC EQUATIONS WITH SINGULAR COEFFICIENTS

The eigenvalues and eigenfunctions of two boundary value problems for three-dimensional equations of elliptic types with singular coefficients with lower terms are found.

BOUNDARY-VALUE PROBLEMS WITH GENERALIZED GLUING CONDITIONS FOR A LOADED DIFFERENTIAL EQUATION WITH A PARABOLIC-HYPERBOLIC OPERATOR

In the present work we study the unique solvability of local boundary value problems with generalized gluing conditions for the third order differential equation with a loaded parabolic-hyperbolic operator.

SYMMETRY CLASSIFICATION OF NEWTONIAN INCOMPRESSIBLEFLUID’S EQUATIONS FLOW IN TURBULENT BOUNDARY LAYERS

Lie group method is applicable to both linear and non-linear partial differential equations, which leads to find new solutions for partial differential equations. Lie symmetry group method is applied to study Newtonian i...

SOLUTIONS OF MATHEMATICAL OLYMPIAD «VITUS BERING – 2016»

We consider solutions of Mathematical Olympiad «Vitus Bering – 2016» for high school students. It was held at Kamchatka State University in April 2016.

Download PDF file
  • EP ID EP465635
  • DOI 10.18454/2079-6641-2010-1-1-8-11
  • Views 156
  • Downloads 0

How To Cite

Alexander Goryshkin (2010). GROUPS WITH REPRESENTATION < a,b;a n = 1,ab = b³a³>. Вестник КРАУНЦ. Физико-математические науки, 1(), 8-11. https://europub.co.uk/articles/-A-465635