Base (group theory)
id:
base-group-theory-238-808544
title:
Base (group theory)
text:
Let G be a finite permutation group acting on a set Ω . A sequence of k distinct elements of Ω is a base for G if the only element of G which fixes every β i ∈ B pointwise is the identity element of G . Bases and strong generating sets are concepts of importance in computational group theory. A base and a strong generating set for a group can be obtained using the Schreier–Sims algorithm. Not every group has a base. In particular, if a group action is not faithful, then no base exists. This is b
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wiki
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encyclopedia
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original url:
https://en.wikipedia.org/wiki/Base_(group_theory)
date created:
date modified:
2023-12-12T15:33:31Z
main entity:
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fields total:
13
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13