FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W1997967879> ?p ?o ?g. }

• W1997967879 endingPage "156" @default.
• W1997967879 startingPage "125" @default.
• W1997967879 abstract "The study of group properties and group structure can proceed from various initial principles. Usually, properties of a group are obtained from the properties of its elements. However, in a number of investigations essentially the converse problems are solved: to study the influence of the properties of the set of all subgroups of a group on the properties of its elements. This explains to what extent purely set-theoretical operations given on the set of all subgroups of a group G (this set forms a lattice S(G)) determine the properties of the group operation itself. The investigation of connections between the structure of a group and the structure of its lattice of subgroups has become one of the main general approaches in the study of groups. There are many interesting results in this field, but also many important unsolved problems. These problems seem to be difficult, and apparently new ideas and mathematical techniques are needed for their solution. The present survey (without claiming to exhaust the whole material) is devoted to the so-called lattice-theoretical questions of group theory and contains recent results. The main attention is given to infinite groups. The structures of various classes of finite groups, their lattice isomorphisms and homomorphisms, and many related questions are treated in Suzuki's comprehensive monograph [1]. General surveys of the results (up to 1961) for infinite soluble, nilpotent and radical groups are contained in the papers of Kontorovich, Pekelis, and Starostin [2] and Plotkin [3]. Finally, the basic notions (for group theory see [4], [5], for lattice theory [6]) and a brief survey of results in this field are contained in the new edition of Kurosh's monograph [5]. Under the circumstances there is naturally some overlap between this work and the above articles. This can be justified by the intention to make the report as complete as possible." @default.
• W1997967879 created "2016-06-24" @default.
• W1997967879 creator A5046931051 @default.
• W1997967879 date "1968-06-30" @default.
• W1997967879 modified "2023-09-28" @default.
• W1997967879 title "Some lattice-theoretical problems in the theory of groups" @default.
• W1997967879 cites W1589698819 @default.
• W1997967879 cites W1644084797 @default.
• W1997967879 cites W1979248577 @default.
• W1997967879 cites W1984203622 @default.
• W1997967879 cites W1985658520 @default.
• W1997967879 cites W1992141285 @default.
• W1997967879 cites W1995567014 @default.
• W1997967879 cites W2001621116 @default.
• W1997967879 cites W2002773817 @default.
• W1997967879 cites W2003632570 @default.
• W1997967879 cites W2004244993 @default.
• W1997967879 cites W2010581186 @default.
• W1997967879 cites W2026813755 @default.
• W1997967879 cites W2054588892 @default.
• W1997967879 cites W2077341294 @default.
• W1997967879 cites W2082401786 @default.
• W1997967879 cites W2084929001 @default.
• W1997967879 cites W2089640374 @default.
• W1997967879 cites W2114788746 @default.
• W1997967879 cites W2129675623 @default.
• W1997967879 cites W2242979285 @default.
• W1997967879 cites W2319845547 @default.
• W1997967879 cites W2330726017 @default.
• W1997967879 cites W2333723162 @default.
• W1997967879 cites W2738649849 @default.
• W1997967879 cites W2951936777 @default.
• W1997967879 cites W3000397294 @default.
• W1997967879 cites W3142408951 @default.
• W1997967879 cites W3175442272 @default.
• W1997967879 cites W950995870 @default.
• W1997967879 cites W3011863363 @default.
• W1997967879 doi "https://doi.org/10.1070/rm1968v023n03abeh003775" @default.
• W1997967879 hasPublicationYear "1968" @default.
• W1997967879 type Work @default.
• W1997967879 sameAs 1997967879 @default.
• W1997967879 citedByCount "4" @default.
• W1997967879 countsByYear W19979678792021 @default.
• W1997967879 crossrefType "journal-article" @default.
• W1997967879 hasAuthorship W1997967879A5046931051 @default.
• W1997967879 hasConcept C121332964 @default.
• W1997967879 hasConcept C136119220 @default.
• W1997967879 hasConcept C202444582 @default.
• W1997967879 hasConcept C24890656 @default.
• W1997967879 hasConcept C2781204021 @default.
• W1997967879 hasConcept C33923547 @default.
• W1997967879 hasConceptScore W1997967879C121332964 @default.
• W1997967879 hasConceptScore W1997967879C136119220 @default.
• W1997967879 hasConceptScore W1997967879C202444582 @default.
• W1997967879 hasConceptScore W1997967879C24890656 @default.
• W1997967879 hasConceptScore W1997967879C2781204021 @default.
• W1997967879 hasConceptScore W1997967879C33923547 @default.
• W1997967879 hasIssue "3" @default.
• W1997967879 hasLocation W19979678791 @default.
• W1997967879 hasOpenAccess W1997967879 @default.
• W1997967879 hasPrimaryLocation W19979678791 @default.
• W1997967879 hasRelatedWork W1557945163 @default.
• W1997967879 hasRelatedWork W1985218657 @default.
• W1997967879 hasRelatedWork W2023661790 @default.
• W1997967879 hasRelatedWork W2064847051 @default.
• W1997967879 hasRelatedWork W2096753949 @default.
• W1997967879 hasRelatedWork W2742285599 @default.
• W1997967879 hasRelatedWork W2963341196 @default.
• W1997967879 hasRelatedWork W3103780039 @default.
• W1997967879 hasRelatedWork W3106133691 @default.
• W1997967879 hasRelatedWork W4249580765 @default.
• W1997967879 hasVolume "23" @default.
• W1997967879 isParatext "false" @default.
• W1997967879 isRetracted "false" @default.
• W1997967879 magId "1997967879" @default.
• W1997967879 workType "article" @default.