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Document Type

Research

Abstract

Let G be a group and {Zn} be the upper central series of G. If Zn = G for some positive integer n and if c is the least such positive integer, we define a chain, {Ki}, of subgroups of G by

(a) Ki = Zc - i + 1 if 1 ≤ i ≤ c,

(b) Ki= {1} if i ≥ c + 1.

We shall call the chain {Ki} the reversed upper central series of G.

Publication Date

1967

Journal Title

Proceedings of the Iowa Academy of Science

Volume

74

Issue

1

First Page

186

Last Page

189

Copyright

© Copyright 1967 by the Iowa Academy of Science, Inc.

Language

EN

File Format

application/pdf

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