Skip to Main Content

Transactions of the American Mathematical Society

Published by the American Mathematical Society, the Transactions of the American Mathematical Society (TRAN) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

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

The 2020 MCQ for Transactions of the American Mathematical Society is 1.43.

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.

 

Two applications of twisted wreath products to finite soluble groups
HTML articles powered by AMS MathViewer

by Trevor O. Hawkes PDF
Trans. Amer. Math. Soc. 214 (1975), 325-335 Request permission

Abstract:

The group construction sometimes known as the twisted wreath product is used here to answer two questions in the theory of finite, soluble groups: first to show that an arbitrary finite, soluble group may be embedded as a subgroup of a group whose upper nilpotent series is a chief series; second to construct an A-group whose Carter subgroup is โ€œsmallโ€ relative to its nilpotent length.
References
Similar Articles
  • Retrieve articles in Transactions of the American Mathematical Society with MSC: 20D10
  • Retrieve articles in all journals with MSC: 20D10
Additional Information
  • © Copyright 1975 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 214 (1975), 325-335
  • MSC: Primary 20D10
  • DOI: https://doi.org/10.1090/S0002-9947-1975-0379657-X
  • MathSciNet review: 0379657