Add to ORKGThe main work of this thesis starts with Chapter 2. The main problems of the thesis are the following (*) and its applications. Let P' be a subpresentation of a group presentation P and X be a set of generators of the second homotopy module pi2(P') of P'. (*) What extra elements are needed to generate pi2(P)? In Chapter 2, we study the answer about (*) when P and P' define the same group, i.e., P is a presentation obtained from P' by a sequence of Tietze transformations. And we also study the relationship between the relation modules of P and P'. In Chapter 3 and 4, we study the answers about (*) when P is (1) a graph product i
For the non-abelian simple groups G of order up to 10⁶ , excluding the groups PSL(2,q), q > 9, the p...
This paper discuss about the number of exponents relation for generator of second homotopy mod...
We introduce a new family of presentations for the quaternion groups and show that for the quaternio...
The main work of this thesis starts with Chapter 2. The main problems of the thesis are the followin...
AbstractThis work properly belongs to combinatorial group theory. But in its motivation and applicat...
We study the groups with presentation (l,m|n,k|p,q) := , in an attempt to characterise which paramet...
Combinatorial group theory is a part of group theory that deals with groups given by presentations i...
AbstractWe give a presentation by generators and relations for K1 of an arbitrary exact category
In this thesis, we will give our discovery of original symmetric presentations of several important ...
In this note we apply a particular technique to obtain information on the homology homomorphism ε*: ...
The foundation of the work of this thesis is based around the involutory progenitor and the finite h...
In Chapter 2 of this thesis we look at methods for finding efficient presentations of the transitive...
106 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1984.A Peiffer-Whitehead word syst...
In this thesis, we have presented our discovery of symmetric presentations of a number of non-abelia...
In this thesis, we have demonstrated our method of writing symmetric presentations of permutation pr...
For the non-abelian simple groups G of order up to 10⁶ , excluding the groups PSL(2,q), q > 9, the p...
This paper discuss about the number of exponents relation for generator of second homotopy mod...
We introduce a new family of presentations for the quaternion groups and show that for the quaternio...
The main work of this thesis starts with Chapter 2. The main problems of the thesis are the followin...
AbstractThis work properly belongs to combinatorial group theory. But in its motivation and applicat...
We study the groups with presentation (l,m|n,k|p,q) := , in an attempt to characterise which paramet...
Combinatorial group theory is a part of group theory that deals with groups given by presentations i...
AbstractWe give a presentation by generators and relations for K1 of an arbitrary exact category
In this thesis, we will give our discovery of original symmetric presentations of several important ...
In this note we apply a particular technique to obtain information on the homology homomorphism ε*: ...
The foundation of the work of this thesis is based around the involutory progenitor and the finite h...
In Chapter 2 of this thesis we look at methods for finding efficient presentations of the transitive...
106 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1984.A Peiffer-Whitehead word syst...
In this thesis, we have presented our discovery of symmetric presentations of a number of non-abelia...
In this thesis, we have demonstrated our method of writing symmetric presentations of permutation pr...
For the non-abelian simple groups G of order up to 10⁶ , excluding the groups PSL(2,q), q > 9, the p...
This paper discuss about the number of exponents relation for generator of second homotopy mod...
We introduce a new family of presentations for the quaternion groups and show that for the quaternio...