Original Articles

NUMBER OF SQUFNITS IN A BIQUADRATIC FIELD

Published in: Quaestiones Mathematicae
Volume 20 , issue 4 , 1997 , pages: 639–646

DOI: 10.1080/16073606.1997.9632231

Author(s): C. Wangechi Mathematics Department, Zimbabwe , J. Preen Mathematics Department, Zimbabwe , A. , G.R. Stewart Mathematics Department, Zimbabwe

Keywords: R

Download full text Get new issue alerts

Abstract

Let U be the full unit group in the biquadratic field ℚ(√c, √d, √e) where c and d are square free integers and e is the square free part of cd. Let H be the unit group generated by the fundamental units of ℚ(√c), ℚ(√d) and ℚ(√e). The objective of this paper is to show that the group index [U: H] is not divisible by 8.

« CONNECTEDNESS, DISCONNECTEDNESS AND CLOSURE OPERATORS: FURTHER RESULTS

RADICAL THEORY FOR SEMIRINGS »