descriptionPublicationkeyboard_double_arrow_right Article 23 Aug 2013 English Publisher:Walter de Gruyter GmbHJournal:Open Mathematics, volume 11, pages 1,914-1,922 (eissn: 2391-5455,

Authors: Ramon Esteban-Romero; Ramon Esteban-Romero; Adolfo Ballester-Bolinches; Enric Cosme-Llópez;

doi: 10.2478/s11533-013-0299-4

handle: 10550/47305 , 10251/39083

Algorithms for permutability in finite groups

- Summary
- Subjects
- Related research
  (11)
- Metrics

Abstract

Abstract In this paper we describe some algorithms to identify permutable and Sylow-permutable subgroups of finite groups, Dedekind and Iwasawa finite groups, and finite T-groups (groups in which normality is transitive), PT-groups (groups in which permutability is transitive), and PST-groups (groups in which Sylow permutability is transitive). These algorithms have been implemented in a package for the computer algebra system GAP.

Related Organizations

University of Kentucky
United States
Université de Valencia
Spain
Universitat Politècnica de València
Spain
University of Valencia
Spain

Keywords

S-permutable subgroup, Iwasawa group, s-permutable subgroup, permutable subgroup, iwasawa group, dedekind group, pt-group, 20-04, pst-group, T-group, QA1-939, 20d10, algorithm, Dedekind group, Grups, Teoria de, Algorithm, t-group, PST-group, finite group, Permutable subgroup [Finite group], Àlgebra, PT-group, Finite group: Permutable subgroup, MATEMATICA APLICADA, 20d20, Mathematics

11 Research products, page 1 of 2

Solvable PST-groups, strong Sylow bases and mutually permutable products
2009IsAmongTopNSimilarDocuments
Finite Soluble Groups with Permutable Subnormal Subgroups
2001IsAmongTopNSimilarDocuments
Propermutable characterizations of finite soluble PST-Groups and PT-groups
2015IsAmongTopNSimilarDocuments
On finite minimal non-nilpotent groups
2005IsAmongTopNSimilarDocuments
Maximal subgroups and PST-groups
2013IsAmongTopNSimilarDocuments
Infinite groups with Sylow permutable subgroups
2009IsAmongTopNSimilarDocuments
Some local properties defining T_0-groups and related classes of groups
2016IsAmongTopNSimilarDocuments
On S-Semipermutable Subgroups and Soluble PST-Groups
2017IsAmongTopNSimilarDocuments
A note on finite 𝒫𝒮𝒯-groups
2007IsAmongTopNSimilarDocuments
Some New Local Properties Defining Soluble PST-Groups
2017IsAmongTopNSimilarDocuments

chevron_left
1
2
chevron_right

Impact byBIP!

	citations This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	1
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Average
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Average
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Average