Reflections on the constructive theory of polycyclic groups

1989 ◽  
pp. 163-169
Author(s):  
Derek J. S. Robinson
Keyword(s):  
Constructive Theory ◽  
Polycyclic Groups

Primitivity in representations of polycyclic groups

1980 ◽  
Vol 88 (1) ◽  
pp. 15-31 ◽  
Author(s):  
D. L. Harper
Keyword(s):  
Finite Group ◽  
Irreducible Representation ◽  
Nilpotent Group ◽  
Infinite Dimension ◽  
Finitely Generated ◽  
Polycyclic Groups

In an earlier paper (5) we showed that a finitely generated nilpotent group which is not abelian-by-finite has a primitive irreducible representation of infinite dimension over any non-absolute field. Here we are concerned primarily with the converse question: Suppose that G is a polycyclic-by-finite group with such a representation, then what can be said about G?

Constructive Theory of Function

1959 ◽  
Vol 13 (65) ◽  
pp. 64
Author(s):  
John Todd ◽  
I. P. Natanson ◽  
K. Bogel
Keyword(s):  
Constructive Theory

On division rings generated by polycyclic groups

1984 ◽  
Vol 47 (2-3) ◽  
pp. 154-164 ◽  
Author(s):  
B. A. F. Wehrfritz
Keyword(s):  
Division Rings ◽  
Polycyclic Groups

On some polycyclic groups with small Hirsch length

2017 ◽  
Vol 16 (12) ◽  
pp. 1750237
Author(s):  
Heguo Liu ◽  
Fang Zhou ◽  
Tao Xu
Keyword(s):  
Abelian Subgroup ◽  
Polycyclic Group ◽  
Normal Abelian Subgroup ◽  
Finite Quotient ◽  
Polycyclic Groups

A polycyclic group [Formula: see text] is called an [Formula: see text]-group if every normal abelian subgroup of any finite quotient of [Formula: see text] is generated by [Formula: see text], or fewer, elements and [Formula: see text] is the least integer with this property. In this paper, the structure of [Formula: see text]-groups and [Formula: see text]-groups is determined.

scholarly journals Rekonstruksi Keberagamaan Santri Jawa

2014 ◽  
Vol 7 (1) ◽  
pp. 1 ◽  
Author(s):  
Ahidul Asror
Keyword(s):  
Way Of Life ◽  
Constructive Theory ◽  
Social Facts ◽  
Cultural Phenomenon ◽  
The Social

This paper distinguishes first of all between Islam as a system of value—transcendental Islam that is—and Islam as socio-cultural phenomenon—sociological Islam that is. The former is about religion as a given system of belief, while the latter is about religious way of life. While touching briefly on the former, the paper will focus a great deal on the latter. It will focus as such on the “constructed Islam” by the Javanese Muslim santris. Employing the social constructive theory, the paper assumes that these santris are active agents in building their own religiosity through what may be called a dialectical moment. Hence, the paper refuses the commonly believed understanding that social facts are completely outside individual awareness in the process of religious construction. By this, the paper attempts to show that Javanese Islam—sociologically speaking—is none other than the product of santri’s cultural and social upbringing.

Sign in / Sign up

Export Citation Format

Share Document