Matches in SemOpenAlex for { <https://semopenalex.org/work/W2126143600> ?p ?o ?g. }
Showing items 1 to 84 of
84
with 100 items per page.
- W2126143600 abstract "Most of the well-known theorems of Sylow for finite groups and of P. Hall for finite soluble groups have been extended to certain restricted classes of infinite groups. To show the limitations of such generalizations, examples are here constructed of infinite groups subject to stringent but natural restrictions, groups in which certain Sylow or Hall theorems fail. All the groups are metabelian and of exponent 6. There are countable such groups in which a Sylow 2-subgroup has a complement but no Sylow 3-complement; or again no complement at all. There are countable such groups with continuously many mutually non-isomorphic Sylow 3-subgroups. There are groups, necessarily of uncountable order, with Sylow 2-subgroups of different orders. The most elaborate example is of an uncountable group in which all Sylow 2-subgroups and 3-subgroups are countable, and none is complemented." @default.
- W2126143600 created "2016-06-24" @default.
- W2126143600 creator A5059001923 @default.
- W2126143600 creator A5081276175 @default.
- W2126143600 creator A5086573810 @default.
- W2126143600 date "1961-03-07" @default.
- W2126143600 modified "2023-10-18" @default.
- W2126143600 title "Some Sylow subgroups" @default.
- W2126143600 doi "https://doi.org/10.1098/rspa.1961.0035" @default.
- W2126143600 hasPublicationYear "1961" @default.
- W2126143600 type Work @default.
- W2126143600 sameAs 2126143600 @default.
- W2126143600 citedByCount "19" @default.
- W2126143600 countsByYear W21261436002013 @default.
- W2126143600 countsByYear W21261436002014 @default.
- W2126143600 countsByYear W21261436002016 @default.
- W2126143600 countsByYear W21261436002017 @default.
- W2126143600 crossrefType "journal-article" @default.
- W2126143600 hasAuthorship W2126143600A5059001923 @default.
- W2126143600 hasAuthorship W2126143600A5081276175 @default.
- W2126143600 hasAuthorship W2126143600A5086573810 @default.
- W2126143600 hasConcept C104317684 @default.
- W2126143600 hasConcept C110729354 @default.
- W2126143600 hasConcept C112313634 @default.
- W2126143600 hasConcept C114614502 @default.
- W2126143600 hasConcept C121332964 @default.
- W2126143600 hasConcept C124535231 @default.
- W2126143600 hasConcept C127716648 @default.
- W2126143600 hasConcept C134064494 @default.
- W2126143600 hasConcept C136170076 @default.
- W2126143600 hasConcept C142399903 @default.
- W2126143600 hasConcept C185592680 @default.
- W2126143600 hasConcept C188082640 @default.
- W2126143600 hasConcept C202444582 @default.
- W2126143600 hasConcept C2777404646 @default.
- W2126143600 hasConcept C2781311116 @default.
- W2126143600 hasConcept C33923547 @default.
- W2126143600 hasConcept C55493867 @default.
- W2126143600 hasConcept C62520636 @default.
- W2126143600 hasConceptScore W2126143600C104317684 @default.
- W2126143600 hasConceptScore W2126143600C110729354 @default.
- W2126143600 hasConceptScore W2126143600C112313634 @default.
- W2126143600 hasConceptScore W2126143600C114614502 @default.
- W2126143600 hasConceptScore W2126143600C121332964 @default.
- W2126143600 hasConceptScore W2126143600C124535231 @default.
- W2126143600 hasConceptScore W2126143600C127716648 @default.
- W2126143600 hasConceptScore W2126143600C134064494 @default.
- W2126143600 hasConceptScore W2126143600C136170076 @default.
- W2126143600 hasConceptScore W2126143600C142399903 @default.
- W2126143600 hasConceptScore W2126143600C185592680 @default.
- W2126143600 hasConceptScore W2126143600C188082640 @default.
- W2126143600 hasConceptScore W2126143600C202444582 @default.
- W2126143600 hasConceptScore W2126143600C2777404646 @default.
- W2126143600 hasConceptScore W2126143600C2781311116 @default.
- W2126143600 hasConceptScore W2126143600C33923547 @default.
- W2126143600 hasConceptScore W2126143600C55493867 @default.
- W2126143600 hasConceptScore W2126143600C62520636 @default.
- W2126143600 hasLocation W21261436001 @default.
- W2126143600 hasOpenAccess W2126143600 @default.
- W2126143600 hasPrimaryLocation W21261436001 @default.
- W2126143600 hasRelatedWork W1492663289 @default.
- W2126143600 hasRelatedWork W1963953694 @default.
- W2126143600 hasRelatedWork W1979664872 @default.
- W2126143600 hasRelatedWork W2010915794 @default.
- W2126143600 hasRelatedWork W2069645238 @default.
- W2126143600 hasRelatedWork W2090673535 @default.
- W2126143600 hasRelatedWork W2117938457 @default.
- W2126143600 hasRelatedWork W2135672360 @default.
- W2126143600 hasRelatedWork W2170783735 @default.
- W2126143600 hasRelatedWork W2195441172 @default.
- W2126143600 hasRelatedWork W2208398339 @default.
- W2126143600 hasRelatedWork W2296720409 @default.
- W2126143600 hasRelatedWork W2589294218 @default.
- W2126143600 hasRelatedWork W2600933824 @default.
- W2126143600 hasRelatedWork W2763937642 @default.
- W2126143600 hasRelatedWork W2950768092 @default.
- W2126143600 hasRelatedWork W2952925539 @default.
- W2126143600 hasRelatedWork W3150789725 @default.
- W2126143600 hasRelatedWork W3184507222 @default.
- W2126143600 hasRelatedWork W6898932 @default.
- W2126143600 isParatext "false" @default.
- W2126143600 isRetracted "false" @default.
- W2126143600 magId "2126143600" @default.
- W2126143600 workType "article" @default.