Matches in SemOpenAlex for { <https://semopenalex.org/work/W3100537735> ?p ?o ?g. }
Showing items 1 to 83 of
83
with 100 items per page.
- W3100537735 abstract "Suppose that a finite group G admits a Frobenius group of automorphisms with kernel F and complement H such that the fixed-point subgroup of F is trivial: . In this situation various properties of G are shown to be close to the corresponding properties of . By using Clifford's theorem it is proved that the order is bounded in terms of and , the rank of G is bounded in terms of and the rank of , and that G is nilpotent if is nilpotent. Lie ring methods are used for bounding the exponent and the nilpotency class of G in the case of metacyclic . The exponent of G is bounded in terms of and the exponent of by using Lazard's Lie algebra associated with the Jennings–Zassenhaus filtration and its connection with powerful subgroups. The nilpotency class of G is bounded in terms of and the nilpotency class of by considering Lie rings with a finite cyclic grading satisfying a certain `selective nilpotency' condition. The latter technique also yields similar results bounding the nilpotency class of Lie rings and algebras with a metacyclic Frobenius group of automorphisms, with corollaries for connected Lie groups and torsion-free locally nilpotent groups with such groups of automorphisms. Examples show that such nilpotency results are no longer true for non-metacyclic Frobenius groups of automorphisms." @default.
- W3100537735 created "2020-11-23" @default.
- W3100537735 creator A5023024488 @default.
- W3100537735 creator A5042273388 @default.
- W3100537735 creator A5076019015 @default.
- W3100537735 date "2014-01-01" @default.
- W3100537735 modified "2023-10-03" @default.
- W3100537735 title "Frobenius groups of automorphisms and their fixed points" @default.
- W3100537735 cites W1540488667 @default.
- W3100537735 cites W1601527220 @default.
- W3100537735 cites W1992237101 @default.
- W3100537735 cites W1997888315 @default.
- W3100537735 cites W2035718089 @default.
- W3100537735 cites W2049894167 @default.
- W3100537735 cites W2063016618 @default.
- W3100537735 cites W2078991650 @default.
- W3100537735 cites W2084631618 @default.
- W3100537735 cites W2149932338 @default.
- W3100537735 cites W2314139063 @default.
- W3100537735 doi "https://doi.org/10.1515/form.2011.152" @default.
- W3100537735 hasPublicationYear "2014" @default.
- W3100537735 type Work @default.
- W3100537735 sameAs 3100537735 @default.
- W3100537735 citedByCount "25" @default.
- W3100537735 countsByYear W31005377352012 @default.
- W3100537735 countsByYear W31005377352013 @default.
- W3100537735 countsByYear W31005377352014 @default.
- W3100537735 countsByYear W31005377352015 @default.
- W3100537735 countsByYear W31005377352016 @default.
- W3100537735 countsByYear W31005377352018 @default.
- W3100537735 countsByYear W31005377352019 @default.
- W3100537735 countsByYear W31005377352021 @default.
- W3100537735 countsByYear W31005377352023 @default.
- W3100537735 crossrefType "journal-article" @default.
- W3100537735 hasAuthorship W3100537735A5023024488 @default.
- W3100537735 hasAuthorship W3100537735A5042273388 @default.
- W3100537735 hasAuthorship W3100537735A5076019015 @default.
- W3100537735 hasBestOaLocation W31005377352 @default.
- W3100537735 hasConcept C114614502 @default.
- W3100537735 hasConcept C118615104 @default.
- W3100537735 hasConcept C118712358 @default.
- W3100537735 hasConcept C127641909 @default.
- W3100537735 hasConcept C134306372 @default.
- W3100537735 hasConcept C188440111 @default.
- W3100537735 hasConcept C202444582 @default.
- W3100537735 hasConcept C206219070 @default.
- W3100537735 hasConcept C33923547 @default.
- W3100537735 hasConcept C34388435 @default.
- W3100537735 hasConcept C50555996 @default.
- W3100537735 hasConceptScore W3100537735C114614502 @default.
- W3100537735 hasConceptScore W3100537735C118615104 @default.
- W3100537735 hasConceptScore W3100537735C118712358 @default.
- W3100537735 hasConceptScore W3100537735C127641909 @default.
- W3100537735 hasConceptScore W3100537735C134306372 @default.
- W3100537735 hasConceptScore W3100537735C188440111 @default.
- W3100537735 hasConceptScore W3100537735C202444582 @default.
- W3100537735 hasConceptScore W3100537735C206219070 @default.
- W3100537735 hasConceptScore W3100537735C33923547 @default.
- W3100537735 hasConceptScore W3100537735C34388435 @default.
- W3100537735 hasConceptScore W3100537735C50555996 @default.
- W3100537735 hasIssue "1" @default.
- W3100537735 hasLocation W31005377351 @default.
- W3100537735 hasLocation W31005377352 @default.
- W3100537735 hasLocation W31005377353 @default.
- W3100537735 hasLocation W31005377354 @default.
- W3100537735 hasLocation W31005377355 @default.
- W3100537735 hasOpenAccess W3100537735 @default.
- W3100537735 hasPrimaryLocation W31005377351 @default.
- W3100537735 hasRelatedWork W1976715562 @default.
- W3100537735 hasRelatedWork W2076307519 @default.
- W3100537735 hasRelatedWork W2144759015 @default.
- W3100537735 hasRelatedWork W2900620208 @default.
- W3100537735 hasRelatedWork W2972186571 @default.
- W3100537735 hasRelatedWork W3040283853 @default.
- W3100537735 hasRelatedWork W3100537735 @default.
- W3100537735 hasRelatedWork W4241788545 @default.
- W3100537735 hasRelatedWork W4244465134 @default.
- W3100537735 hasRelatedWork W4289283581 @default.
- W3100537735 hasVolume "26" @default.
- W3100537735 isParatext "false" @default.
- W3100537735 isRetracted "false" @default.
- W3100537735 magId "3100537735" @default.
- W3100537735 workType "article" @default.