Implications of the Index of a Fixed Point Subgroup
| dc.contributor.author | Turkan, Erkan Murat | |
| dc.date.accessioned | 2020-02-28T12:18:18Z | |
| dc.date.accessioned | 2025-09-18T12:05:53Z | |
| dc.date.available | 2020-02-28T12:18:18Z | |
| dc.date.available | 2025-09-18T12:05:53Z | |
| dc.date.issued | 2019 | |
| dc.description.abstract | Let G be a finite group and A <= Aut(G). The index vertical bar G:C-G(A)vertical bar is called the index of A in G and is denoted by Ind(G)(A). In this paper, we study the influence of Ind(G)(A) on the structure of G and prove that [G, A] is solvable in case where A is cyclic, Ind G(A) is squarefree and the orders of G and A are coprime. Moreover, for arbitrary A <= Aut(G) whose order is coprime to the order of G, we show that when [G, A] is solvable, the Fitting height of [G, A] is bounded above by the number of primes (counted with multiplicities) dividing Ind(G)(A) and this bound is best possible. | en_US |
| dc.identifier.citation | Turkan, Erkan Murat, "Implications of the index of a fixed point subgroup", Rendiconti Del Seminario Matematico Della Universita Di Padova", Rendiconti Del Seminario Matematico Della Universita Di Padova, Vol. 142, pp. 1-7, (2019). | en_US |
| dc.identifier.doi | 10.4171/RSMUP/26 | |
| dc.identifier.issn | 0041-8994 | |
| dc.identifier.issn | 2240-2926 | |
| dc.identifier.scopus | 2-s2.0-85090253708 | |
| dc.identifier.uri | https://doi.org/10.4171/RSMUP/26 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/10756 | |
| dc.language.iso | en | en_US |
| dc.publisher | C E D A M Spa Casa Editr Dott Antonio Milani | en_US |
| dc.relation.ispartof | Rendiconti del Seminario Matematico della Università di Padova | |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Index | en_US |
| dc.subject | Fixed Point Subgroup | en_US |
| dc.subject | Automorphism Of A Group | en_US |
| dc.subject | Solvable Group | en_US |
| dc.subject | Fitting Height | en_US |
| dc.title | Implications of the Index of a Fixed Point Subgroup | en_US |
| dc.title | Implications of the index of a fixed point subgroup | tr_TR |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.institutional | Turkan, Erkan Murat | |
| gdc.author.scopusid | 57218775336 | |
| gdc.author.wosid | Turkan, Erkan/Aed-5599-2022 | |
| gdc.author.yokid | 228687 | |
| gdc.bip.impulseclass | C5 | |
| gdc.bip.influenceclass | C5 | |
| gdc.bip.popularityclass | C5 | |
| gdc.coar.access | metadata only access | |
| gdc.coar.type | text::journal::journal article | |
| gdc.collaboration.industrial | false | |
| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Turkan, Erkan Murat] Cankaya Univ, Dept Math, TR-06970 Ankara, Turkey; [Turkan, Erkan Murat] Middle East Tech Univ, Dept Math, TR-06800 Ankara, Turkey | en_US |
| gdc.description.endpage | 7 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q4 | |
| gdc.description.startpage | 1 | en_US |
| gdc.description.volume | 142 | en_US |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
| gdc.description.wosquality | Q3 | |
| gdc.identifier.openalex | W2951599621 | |
| gdc.identifier.wos | WOS:000496502000001 | |
| gdc.index.type | WoS | |
| gdc.index.type | Scopus | |
| gdc.oaire.accesstype | GOLD | |
| gdc.oaire.diamondjournal | false | |
| gdc.oaire.impulse | 0.0 | |
| gdc.oaire.influence | 2.4895952E-9 | |
| gdc.oaire.isgreen | false | |
| gdc.oaire.keywords | index | |
| gdc.oaire.keywords | automorphism of a group | |
| gdc.oaire.keywords | Fitting height | |
| gdc.oaire.keywords | fixed point subgroup | |
| gdc.oaire.keywords | Finite solvable groups, theory of formations, Schunck classes, Fitting classes, \(\pi\)-length, ranks | |
| gdc.oaire.keywords | Arithmetic and combinatorial problems involving abstract finite groups | |
| gdc.oaire.keywords | Automorphisms of abstract finite groups | |
| gdc.oaire.keywords | solvable group | |
| gdc.oaire.popularity | 1.181496E-9 | |
| gdc.oaire.publicfunded | false | |
| gdc.oaire.sciencefields | 0101 mathematics | |
| gdc.oaire.sciencefields | 01 natural sciences | |
| gdc.openalex.collaboration | National | |
| gdc.openalex.fwci | 0.0 | |
| gdc.openalex.normalizedpercentile | 0.16 | |
| gdc.opencitations.count | 0 | |
| gdc.plumx.scopuscites | 0 | |
| gdc.scopus.citedcount | 0 | |
| gdc.virtual.author | Türkan, Erkan Murat | |
| gdc.wos.citedcount | 0 | |
| relation.isAuthorOfPublication | 69d4577a-10f6-46f0-b8fc-e0a4ded62c4f | |
| relation.isAuthorOfPublication.latestForDiscovery | 69d4577a-10f6-46f0-b8fc-e0a4ded62c4f | |
| relation.isOrgUnitOfPublication | 0b9123e4-4136-493b-9ffd-be856af2cdb1 | |
| relation.isOrgUnitOfPublication | 26a93bcf-09b3-4631-937a-fe838199f6a5 | |
| relation.isOrgUnitOfPublication | 28fb8edb-0579-4584-a2d4-f5064116924a | |
| relation.isOrgUnitOfPublication.latestForDiscovery | 0b9123e4-4136-493b-9ffd-be856af2cdb1 |