Skip to Main Content

Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2024 MCQ for Transactions of the American Mathematical Society is 1.48 .

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Varieties of automorphism groups of orders
HTML articles powered by AMS MathViewer

by W. Charles Holland
Trans. Amer. Math. Soc. 288 (1985), 755-763
DOI: https://doi.org/10.1090/S0002-9947-1985-0776402-7

Abstract:

The group $A(\Omega )$ of automorphisms of a totally ordered set $\Omega$ must generate either the variety of all groups or the solvable variety of class $n$. In the former case, $A(\Omega )$ contains a free group of rank ${2^{{\aleph _0}}}$; in the latter case, $A(\Omega )$ contains a free solvable group of class $n - 1$ and rank ${2^{{\aleph _0}}}$.
References
Similar Articles
Bibliographic Information
  • © Copyright 1985 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 288 (1985), 755-763
  • MSC: Primary 06F15; Secondary 08B20, 20B27, 20E10, 20F16
  • DOI: https://doi.org/10.1090/S0002-9947-1985-0776402-7
  • MathSciNet review: 776402