Matches in SemOpenAlex for { <https://semopenalex.org/work/W4295681332> ?p ?o ?g. }
Showing items 1 to 100 of
100
with 100 items per page.
- W4295681332 endingPage "486" @default.
- W4295681332 startingPage "475" @default.
- W4295681332 abstract "Let G be a finite group. A coprime commutator in G is any element that can be written as a commutator [x,y] for suitable x,y∈G such that π(x)∩π(y)=∅. Here π(g) denotes the set of prime divisors of the order of the element g∈G. An anti-coprime commutator is an element that can be written as a commutator [x,y], where π(x)=π(y). The main results of the paper are as follows. If |xG|≤n whenever x is a coprime commutator, then G has a nilpotent subgroup of n-bounded index. If |xG|≤n for every anti-coprime commutator x∈G, then G has a subgroup H of nilpotency class at most 4 such that [G:H] and |γ4(H)| are both n-bounded. We also consider finite groups in which the centralizers of coprime, or anti-coprime, commutators are of bounded order." @default.
- W4295681332 created "2022-09-14" @default.
- W4295681332 creator A5005996108 @default.
- W4295681332 creator A5036917826 @default.
- W4295681332 creator A5042273388 @default.
- W4295681332 date "2022-12-01" @default.
- W4295681332 modified "2023-09-29" @default.
- W4295681332 title "Centralizers of commutators in finite groups" @default.
- W4295681332 cites W1967261382 @default.
- W4295681332 cites W1989876890 @default.
- W4295681332 cites W1993892242 @default.
- W4295681332 cites W2052179209 @default.
- W4295681332 cites W2075031783 @default.
- W4295681332 cites W2799617174 @default.
- W4295681332 cites W2936310554 @default.
- W4295681332 cites W2962780319 @default.
- W4295681332 cites W2963776765 @default.
- W4295681332 cites W3028073899 @default.
- W4295681332 cites W3157655944 @default.
- W4295681332 cites W3216869337 @default.
- W4295681332 cites W4253676159 @default.
- W4295681332 doi "https://doi.org/10.1016/j.jalgebra.2022.09.005" @default.
- W4295681332 hasPublicationYear "2022" @default.
- W4295681332 type Work @default.
- W4295681332 citedByCount "1" @default.
- W4295681332 countsByYear W42956813322023 @default.
- W4295681332 crossrefType "journal-article" @default.
- W4295681332 hasAuthorship W4295681332A5005996108 @default.
- W4295681332 hasAuthorship W4295681332A5036917826 @default.
- W4295681332 hasAuthorship W4295681332A5042273388 @default.
- W4295681332 hasBestOaLocation W42956813322 @default.
- W4295681332 hasConcept C10138342 @default.
- W4295681332 hasConcept C105515060 @default.
- W4295681332 hasConcept C114614502 @default.
- W4295681332 hasConcept C121332964 @default.
- W4295681332 hasConcept C134306372 @default.
- W4295681332 hasConcept C136119220 @default.
- W4295681332 hasConcept C140865510 @default.
- W4295681332 hasConcept C145620117 @default.
- W4295681332 hasConcept C162324750 @default.
- W4295681332 hasConcept C17744445 @default.
- W4295681332 hasConcept C182306322 @default.
- W4295681332 hasConcept C184992742 @default.
- W4295681332 hasConcept C199539241 @default.
- W4295681332 hasConcept C200288055 @default.
- W4295681332 hasConcept C202444582 @default.
- W4295681332 hasConcept C23230895 @default.
- W4295681332 hasConcept C2777404646 @default.
- W4295681332 hasConcept C2781311116 @default.
- W4295681332 hasConcept C33923547 @default.
- W4295681332 hasConcept C34388435 @default.
- W4295681332 hasConcept C50555996 @default.
- W4295681332 hasConcept C62520636 @default.
- W4295681332 hasConcept C73648015 @default.
- W4295681332 hasConceptScore W4295681332C10138342 @default.
- W4295681332 hasConceptScore W4295681332C105515060 @default.
- W4295681332 hasConceptScore W4295681332C114614502 @default.
- W4295681332 hasConceptScore W4295681332C121332964 @default.
- W4295681332 hasConceptScore W4295681332C134306372 @default.
- W4295681332 hasConceptScore W4295681332C136119220 @default.
- W4295681332 hasConceptScore W4295681332C140865510 @default.
- W4295681332 hasConceptScore W4295681332C145620117 @default.
- W4295681332 hasConceptScore W4295681332C162324750 @default.
- W4295681332 hasConceptScore W4295681332C17744445 @default.
- W4295681332 hasConceptScore W4295681332C182306322 @default.
- W4295681332 hasConceptScore W4295681332C184992742 @default.
- W4295681332 hasConceptScore W4295681332C199539241 @default.
- W4295681332 hasConceptScore W4295681332C200288055 @default.
- W4295681332 hasConceptScore W4295681332C202444582 @default.
- W4295681332 hasConceptScore W4295681332C23230895 @default.
- W4295681332 hasConceptScore W4295681332C2777404646 @default.
- W4295681332 hasConceptScore W4295681332C2781311116 @default.
- W4295681332 hasConceptScore W4295681332C33923547 @default.
- W4295681332 hasConceptScore W4295681332C34388435 @default.
- W4295681332 hasConceptScore W4295681332C50555996 @default.
- W4295681332 hasConceptScore W4295681332C62520636 @default.
- W4295681332 hasConceptScore W4295681332C73648015 @default.
- W4295681332 hasFunder F4320322025 @default.
- W4295681332 hasFunder F4320323350 @default.
- W4295681332 hasFunder F4320334045 @default.
- W4295681332 hasLocation W42956813321 @default.
- W4295681332 hasLocation W42956813322 @default.
- W4295681332 hasOpenAccess W4295681332 @default.
- W4295681332 hasPrimaryLocation W42956813321 @default.
- W4295681332 hasRelatedWork W2078178339 @default.
- W4295681332 hasRelatedWork W2079522203 @default.
- W4295681332 hasRelatedWork W2129545239 @default.
- W4295681332 hasRelatedWork W2958056911 @default.
- W4295681332 hasRelatedWork W3025107636 @default.
- W4295681332 hasRelatedWork W3062593560 @default.
- W4295681332 hasRelatedWork W3216869337 @default.
- W4295681332 hasRelatedWork W4229062760 @default.
- W4295681332 hasRelatedWork W4287777959 @default.
- W4295681332 hasRelatedWork W4295681332 @default.
- W4295681332 hasVolume "612" @default.
- W4295681332 isParatext "false" @default.
- W4295681332 isRetracted "false" @default.
- W4295681332 workType "article" @default.