GroupActionBase
✖
GroupActionBase
Details

- A base of a group is a list of points of its domain of action such that the only element in the group fixing them all is the identity.
- Reordering the points in a base gives a different base.
- The choice of base affects the ordering of group elements in the functions GroupElements and GroupElementPosition.
- If the list of points given is not a base, the Wolfram Language will add more points until obtaining a base. In particular, GroupActionBase->{} will make the Wolfram Language choose an appropriate base.
Examples
Basic Examples (1)Summary of the most common use cases
Wolfram Research (2010), GroupActionBase, Wolfram Language function, https://reference.wolfram.com/language/ref/GroupActionBase.html.
✖
Wolfram Research (2010), GroupActionBase, Wolfram Language function, https://reference.wolfram.com/language/ref/GroupActionBase.html.
Text
Wolfram Research (2010), GroupActionBase, Wolfram Language function, https://reference.wolfram.com/language/ref/GroupActionBase.html.
✖
Wolfram Research (2010), GroupActionBase, Wolfram Language function, https://reference.wolfram.com/language/ref/GroupActionBase.html.
CMS
Wolfram Language. 2010. "GroupActionBase." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/GroupActionBase.html.
✖
Wolfram Language. 2010. "GroupActionBase." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/GroupActionBase.html.
APA
Wolfram Language. (2010). GroupActionBase. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/GroupActionBase.html
✖
Wolfram Language. (2010). GroupActionBase. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/GroupActionBase.html
BibTeX
✖
@misc{reference.wolfram_2025_groupactionbase, author="Wolfram Research", title="{GroupActionBase}", year="2010", howpublished="\url{https://reference.wolfram.com/language/ref/GroupActionBase.html}", note=[Accessed: 04-April-2025
]}
BibLaTeX
✖
@online{reference.wolfram_2025_groupactionbase, organization={Wolfram Research}, title={GroupActionBase}, year={2010}, url={https://reference.wolfram.com/language/ref/GroupActionBase.html}, note=[Accessed: 04-April-2025
]}