منابع مشابه
Nilpotent Groups
The articles [2], [3], [4], [6], [7], [5], [8], [9], [10], and [1] provide the notation and terminology for this paper. For simplicity, we use the following convention: x is a set, G is a group, A, B, H, H1, H2 are subgroups of G, a, b, c are elements of G, F is a finite sequence of elements of the carrier of G, and i, j are elements of N. One can prove the following propositions: (1) ab = a · ...
متن کاملArithmetic groups and their generalizations: what, why and how
Arithmetic groups such as Z and SL(n,Z) are known to most people. But their relatives, for example, S-arithmetic groups such as SL(n,Z[ 1 p1 , · · · , 1 pm ]), where p1, · · · , pm are primes, and SL(n,Fp[t]), where Fp is a finite field and t is a variable, may not be so well-known. The purpose of this expository article is to explain what these groups are, why they are important to study, and ...
متن کاملPlane Curves and Their Fundamental Groups: Generalizations of Uludağ’s Construction
In this paper we investigate Uludağ’s method for constructing new curves whose fundamental groups are central extensions of the fundamental group of the original curve by finite cyclic groups. In the first part, we give some generalizations to his method in order to get new families of curves with controlled fundamental groups. In the second part, we discuss some properties of groups which are ...
متن کاملPseudocomplete Nilpotent Groups
Scmicomplctc nilpotcnt groups, that is, nilpotent groups with no outer automorphisms, have been of interest for many years. In this paper pscudocomplete nilpotent groups, that is, nilpotent groups in which the automorphism group and the inner automorphism group arc isomorphic (not equal), are constructed. When suitable conditions are placed on the pseudocomplete nilpotent group, the quotient of...
متن کاملLocally Nilpotent Linear Groups
This article examines aspects of the theory of locally nilpotent linear groups. We also present a new classification result for locally nilpotent linear groups over an arbitrary field F. 1. Why Locally Nilpotent Linear Groups? Linear (matrix) groups are a commonly used concrete representation of groups. The first investigations of linear groups were undertaken in the second half of the 19th cen...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1940
ISSN: 0002-9947
DOI: 10.2307/1989961