The Augmentation Quotients of the Groups of Order 2⁵, II

Abstract

We have described the structure of Q _n (G) = Δ ⁿ (G)/Δ ⁿ⁺¹(G) for 35 particular classes of groups G with order 2⁵ in the previous article. In this article, the structure of Q _n (G) for all the remaining classes of groups G with order 2⁵ are presented.

Key Words:

• Augmentation ideal
• Augmentation quotient group
• Integral group ring

2000 Mathematics Subject Classification:

• 16S34
• 20C05

ACKNOWLEDGMENT

The authors wish to express their sincere thanks to the referee for valuable suggestions.

This work is supported by NSF of China.

Notes

Communicated by S. Sehgal.