Version 1.6.6
25 February 2023
Olexandr Konovalov
Email: obk1@st-andrews.ac.uk
Homepage: https://alex-konovalov.github.io/
Address:
School of Computer Science
University of St Andrews
Jack Cole Building, North Haugh,
St Andrews, Fife, KY16 9SX, Scotland
Panagiotis Soules
Email: psoules@math.uoa.gr
Address:
Department of Mathematics
National and Capodistrian University of Athens
Panepistimioupolis, GR-15784, Athens, Greece
The GAP4 package Circle extends the GAP functionality for computations in adjoint groups of associative rings. It provides functionality to construct circle objects that will respect the circle multiplication r ⋅ s = r + s + rs, and to compute adjoint semigroups and adjoint groups of finite rings. Also it may serve as an example of extending the GAP system with new multiplicative objects.
© 2006-2023 by Olexandr Konovalov and Panagiotis Soules
Circle is free software; you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation; either version 2 of the License, or (at your option) any later version. For details, see the FSF's own site https://www.gnu.org/licenses/gpl.html.
If you obtained Circle, we would be grateful for a short notification sent to one of the authors.
If you publish a result which was partially obtained with the usage of Circle, please cite it in the following form:
O. Konovalov, P. Soules. Circle --- Adjoint groups of finite rings, Version 1.6.6; 2023 (https://gap-packages.github.io/circle/).
We acknowledge very much Alexander Hulpke and James Mitchell for their helpful comments and advices, and the referee for testing the package and useful suggestions.
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