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nilcano

Canonical conjugacy representatives in nilpotent groups

1.1

24 September 2026

Óscar Fernández Ayala
Email: oscar00ayala@gmail.com
Homepage: https://osferay.github.io

Contents

1 Preface
 1.1 Nilpotent sequences
2 Conjugacy
 2.1 Canonical conjugate representatives for elements

  2.1-1 CentralizerNilGroup
  2.1-2 IsConjugateNilGroup
  2.1-3 CanonicalConjugateElements
  2.1-4 IsCanonicalConjugateElements
  2.1-5 InfoConjugacyElements
 2.2 Canonical conjugate representatives for subgroups

  2.2-1 NormalizerNilGroup
  2.2-2 IsConjugateSubgroups
  2.2-3 CanonicalConjugateSubgroup
  2.2-4 IsCanonicalConjugateSubgroups
  2.2-5 InfoConjugacySubgroups
 2.3 Canonical conjugate representatives for lists

  2.3-1 CanonicalConjugateList
  2.3-2 IsConjugateList
 2.4 Intersection of subgroups and product pairs of subgroups

  2.4-1 IntersectionSubgroupsNilGroups
  2.4-2 SubgroupProductPair
  2.4-3 ProductDecomposition
References
Index

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