The Reversed Upper Central Series in the Polarization Process in Groups

Authors

Donald Harry Pilgrim, Luther CollegeFollow

Document Type

Research

Abstract

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

(a) K_i = Z_c - _i + ₁ if 1 ≤ i ≤ c,

(b) K_i= {1} if i ≥ c + 1.

We shall call the chain {K_i} 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

©1967 Iowa Academy of Science, Inc.

Language

en

File Format

application/pdf

Recommended Citation

Pilgrim, Donald Harry (1967) "The Reversed Upper Central Series in the Polarization Process in Groups," Proceedings of the Iowa Academy of Science, 74(1), 186-189.
Available at: https://scholarworks.uni.edu/pias/vol74/iss1/29