Remote Access Mathematics of Computation
Green Open Access

Mathematics of Computation

ISSN 1088-6842(online) ISSN 0025-5718(print)



Presentations for unit groups of modular group algebras of groups of order $ 16$

Author: Robert Sandling
Journal: Math. Comp. 59 (1992), 689-701
MSC: Primary 16S34; Secondary 16U60, 20C05, 20D15, 20F05
MathSciNet review: 1136226
Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: For a p-group G and the field F of p elements, let V denote the group of normalized units of the group algebra FG. Generators and relations are provided for V for each group G of order dividing 16. The presentations are sufficiently concise to permit transcription for machine calculation with V. Some applications are described. A theoretical method for obtaining presentations for V is developed. It is most effective when $ p = 2$, or when $ p = 3$ and the commutator subgroup G' is of order 3. Implementation involves extensive calculation in FG.

References [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Mathematics of Computation with MSC: 16S34, 16U60, 20C05, 20D15, 20F05

Retrieve articles in all journals with MSC: 16S34, 16U60, 20C05, 20D15, 20F05

Additional Information

Keywords: Modular group algebra, p-group, unit group, generators and relations, presentation of an extension
Article copyright: © Copyright 1992 American Mathematical Society