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GAP 4 Package RAMEGA

RAndom MEthods in Group Algebras

1.2.0

2021

Zsolt Adam Balogh
Email: baloghzsa@gmail.com
Address:
Department of Mathematical Sciences
UAEU
Al Ain, United Arab Emirates

Vasyl Laver
Email: vasyl.laver@uzhnu.edu.ua
Address:
Department of Informative and Operating Systems and Technologies
Uzhhorod National University
Uzhhorod, Ukraine

Copyright

© 2021 by the authors

This package may be distributed under the terms and conditions of the GNU Public License Version 2 or higher.

Contents

1 Introduction
 1.1 Overview over this manual
 1.2 Installation
 1.3 Feedback
2 Random Methods
 2.1 Basic Operations

  2.1-1 BasicGroup
  2.1-2 IsLienEngel
 2.2 Random Methods for Obtaining Elements With Desired Properties

  2.2-1 GetRandomUnit
  2.2-2 GetRandomNormalizedUnit
  2.2-3 GetRandomNormalizedUnitaryUnit
  2.2-4 GetRandomCentralNormalizedUnit
  2.2-5 GetRandomElementFromAugmentationIdeal
 2.3 Random Methods for Group Rings

  2.3-1 RandomLienEngelLength
  2.3-2 RandomExponent
  2.3-3 RandomExponentOfNormalizedUnitsCenter
  2.3-4 RandomNilpotencyClass
  2.3-5 RandomDerivedLength
  2.3-6 RandomCommutatorSubgroup
  2.3-7 RandomCommutatorSubgroupOfNormalizedUnits
  2.3-8 RandomNormalizedUnitGroup
  2.3-9 RandomUnitarySubgroup
  2.3-10 RandomCommutatorSeries
  2.3-11 RandomLowerCentralSeries
  2.3-12 RandomUnitaryOrder
  2.3-13 RandomOmega
  2.3-14 RandomAgemo
  2.3-15 RandomDihedralDepth
  2.3-16 RandomQuaternionDepth
  2.3-17 GetRandomSubgroupOfNormalizedUnitGroup
  2.3-18 RandomConjugacyClass
  2.3-19 RandomConjugacyClasses
  2.3-20 RandomIsCentralElement
  2.3-21 RandomIsNormal
  2.3-22 RandomCenterOfCommutatorSubgroup
  2.3-23 RandomConjugacyClassByElement
References
Index

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