Matches in SemOpenAlex for { <https://semopenalex.org/work/W2056517985> ?p ?o ?g. }
- W2056517985 endingPage "253" @default.
- W2056517985 startingPage "242" @default.
- W2056517985 abstract "Let G be a finite p-group acted on faithfully by a group A. We prove that if A fixes every element of order dividing p (4 if p=2) in a specified subgroup of G, then both A and [G,A] behave regularly, that is the elements of order dividing any power pi in each one of them form a subgroup; moreover A and [G,A] have the same exponent, and they are nilpotent of class bounded in terms of p and the exponent of A. This leads in particular to a solution of a problem posed by Y. Berkovich. In another direction we discuss some aspects of the influence of a p-group P on the structure of a finite group which contains P as a Sylow subgroup, under assumptions like every element of order dividing p (4 if p=2) in a given term of the lower central series of P lies in the center of P." @default.
- W2056517985 created "2016-06-24" @default.
- W2056517985 creator A5017030614 @default.
- W2056517985 date "2015-02-01" @default.
- W2056517985 modified "2023-09-23" @default.
- W2056517985 title "p-Central action on finite groups" @default.
- W2056517985 cites W1980835925 @default.
- W2056517985 cites W1989876890 @default.
- W2056517985 cites W2069386562 @default.
- W2056517985 cites W2069693560 @default.
- W2056517985 cites W2077715654 @default.
- W2056517985 cites W2134158603 @default.
- W2056517985 cites W2150990700 @default.
- W2056517985 cites W2323361540 @default.
- W2056517985 cites W2490728539 @default.
- W2056517985 cites W2745104276 @default.
- W2056517985 cites W3151011598 @default.
- W2056517985 doi "https://doi.org/10.1016/j.jalgebra.2014.11.011" @default.
- W2056517985 hasPublicationYear "2015" @default.
- W2056517985 type Work @default.
- W2056517985 sameAs 2056517985 @default.
- W2056517985 citedByCount "1" @default.
- W2056517985 countsByYear W20565179852017 @default.
- W2056517985 crossrefType "journal-article" @default.
- W2056517985 hasAuthorship W2056517985A5017030614 @default.
- W2056517985 hasConcept C10138342 @default.
- W2056517985 hasConcept C104317684 @default.
- W2056517985 hasConcept C112313634 @default.
- W2056517985 hasConcept C114614502 @default.
- W2056517985 hasConcept C118712358 @default.
- W2056517985 hasConcept C121332964 @default.
- W2056517985 hasConcept C124535231 @default.
- W2056517985 hasConcept C127716648 @default.
- W2056517985 hasConcept C134064494 @default.
- W2056517985 hasConcept C134306372 @default.
- W2056517985 hasConcept C136170076 @default.
- W2056517985 hasConcept C138885662 @default.
- W2056517985 hasConcept C160826032 @default.
- W2056517985 hasConcept C162324750 @default.
- W2056517985 hasConcept C17744445 @default.
- W2056517985 hasConcept C182306322 @default.
- W2056517985 hasConcept C185592680 @default.
- W2056517985 hasConcept C188082640 @default.
- W2056517985 hasConcept C188440111 @default.
- W2056517985 hasConcept C199539241 @default.
- W2056517985 hasConcept C200288055 @default.
- W2056517985 hasConcept C206219070 @default.
- W2056517985 hasConcept C2777404646 @default.
- W2056517985 hasConcept C2779463800 @default.
- W2056517985 hasConcept C2780388253 @default.
- W2056517985 hasConcept C2781311116 @default.
- W2056517985 hasConcept C30236536 @default.
- W2056517985 hasConcept C33923547 @default.
- W2056517985 hasConcept C34388435 @default.
- W2056517985 hasConcept C41895202 @default.
- W2056517985 hasConcept C50555996 @default.
- W2056517985 hasConcept C55493867 @default.
- W2056517985 hasConcept C62520636 @default.
- W2056517985 hasConcept C8010536 @default.
- W2056517985 hasConceptScore W2056517985C10138342 @default.
- W2056517985 hasConceptScore W2056517985C104317684 @default.
- W2056517985 hasConceptScore W2056517985C112313634 @default.
- W2056517985 hasConceptScore W2056517985C114614502 @default.
- W2056517985 hasConceptScore W2056517985C118712358 @default.
- W2056517985 hasConceptScore W2056517985C121332964 @default.
- W2056517985 hasConceptScore W2056517985C124535231 @default.
- W2056517985 hasConceptScore W2056517985C127716648 @default.
- W2056517985 hasConceptScore W2056517985C134064494 @default.
- W2056517985 hasConceptScore W2056517985C134306372 @default.
- W2056517985 hasConceptScore W2056517985C136170076 @default.
- W2056517985 hasConceptScore W2056517985C138885662 @default.
- W2056517985 hasConceptScore W2056517985C160826032 @default.
- W2056517985 hasConceptScore W2056517985C162324750 @default.
- W2056517985 hasConceptScore W2056517985C17744445 @default.
- W2056517985 hasConceptScore W2056517985C182306322 @default.
- W2056517985 hasConceptScore W2056517985C185592680 @default.
- W2056517985 hasConceptScore W2056517985C188082640 @default.
- W2056517985 hasConceptScore W2056517985C188440111 @default.
- W2056517985 hasConceptScore W2056517985C199539241 @default.
- W2056517985 hasConceptScore W2056517985C200288055 @default.
- W2056517985 hasConceptScore W2056517985C206219070 @default.
- W2056517985 hasConceptScore W2056517985C2777404646 @default.
- W2056517985 hasConceptScore W2056517985C2779463800 @default.
- W2056517985 hasConceptScore W2056517985C2780388253 @default.
- W2056517985 hasConceptScore W2056517985C2781311116 @default.
- W2056517985 hasConceptScore W2056517985C30236536 @default.
- W2056517985 hasConceptScore W2056517985C33923547 @default.
- W2056517985 hasConceptScore W2056517985C34388435 @default.
- W2056517985 hasConceptScore W2056517985C41895202 @default.
- W2056517985 hasConceptScore W2056517985C50555996 @default.
- W2056517985 hasConceptScore W2056517985C55493867 @default.
- W2056517985 hasConceptScore W2056517985C62520636 @default.
- W2056517985 hasConceptScore W2056517985C8010536 @default.
- W2056517985 hasLocation W20565179851 @default.
- W2056517985 hasOpenAccess W2056517985 @default.
- W2056517985 hasPrimaryLocation W20565179851 @default.
- W2056517985 hasRelatedWork W1970453491 @default.
- W2056517985 hasRelatedWork W1972909364 @default.