AbstractLet G be a finite nilpotent group so that all simple components (D)n × n, n ≥ 2 of QG satisfy the congruence subgroup theorem. Suppose that for all odd primes p dividing |G| the Hamiltonian quaternions H split over the pth cyclotomic field Q(ζp). Then new units B3 are introduced so that 〈 B1, B2, B′2, B3〉 is of finite index in U(ZG)
Abstract. We give an explicit and character-free construction of a complete set of orthogonal primit...
AbstractWe classify the nilpotent finite groupsGwhich are such that the unit group U(ZG) of the inte...
AbstractLet G be a finite group and U = U(ℤG) be the unit group of the integral group ring ℤG. Let H...
AbstractLet G be a finite nilpotent group so that all simple components (D)n × n, n ≥ 2 of QG satisf...
We give an algorithm to determine finitely many generators for a subgroup of finite index in the uni...
peer reviewedWe give an algorithm to determine finitely many generators for a subgroup of finite ind...
This paper surveys recent results regarding large subgroups of units in integral group rings of nilp...
[[abstract]]In the 1960's, H. Zassenhaus made three conjectures about torsion units and finite subgr...
This thesis is concerned with the unit group and class number of real abelian fields. We study subgr...
AbstractLet A be a finite abelian group of exponent pm>1, an odd prime power, and consider the group...
AbstractIn the first part we give a survey of some recent results on constructing finitely many gene...
We present a survey of some recent results on problems posed by Sudarshan Sehgal
Let G be a group of odd order that contains a non-central element x whose order is either a prime p ...
Let G be a group of odd order that contains a non-central element x whose order is either a prime p ...
The topic of this paper is the construction of a finite set of generators for a subgroup of finite i...
Abstract. We give an explicit and character-free construction of a complete set of orthogonal primit...
AbstractWe classify the nilpotent finite groupsGwhich are such that the unit group U(ZG) of the inte...
AbstractLet G be a finite group and U = U(ℤG) be the unit group of the integral group ring ℤG. Let H...
AbstractLet G be a finite nilpotent group so that all simple components (D)n × n, n ≥ 2 of QG satisf...
We give an algorithm to determine finitely many generators for a subgroup of finite index in the uni...
peer reviewedWe give an algorithm to determine finitely many generators for a subgroup of finite ind...
This paper surveys recent results regarding large subgroups of units in integral group rings of nilp...
[[abstract]]In the 1960's, H. Zassenhaus made three conjectures about torsion units and finite subgr...
This thesis is concerned with the unit group and class number of real abelian fields. We study subgr...
AbstractLet A be a finite abelian group of exponent pm>1, an odd prime power, and consider the group...
AbstractIn the first part we give a survey of some recent results on constructing finitely many gene...
We present a survey of some recent results on problems posed by Sudarshan Sehgal
Let G be a group of odd order that contains a non-central element x whose order is either a prime p ...
Let G be a group of odd order that contains a non-central element x whose order is either a prime p ...
The topic of this paper is the construction of a finite set of generators for a subgroup of finite i...
Abstract. We give an explicit and character-free construction of a complete set of orthogonal primit...
AbstractWe classify the nilpotent finite groupsGwhich are such that the unit group U(ZG) of the inte...
AbstractLet G be a finite group and U = U(ℤG) be the unit group of the integral group ring ℤG. Let H...
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