FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W3014980510> ?p ?o ?g. }

• W3014980510 endingPage "396" @default.
• W3014980510 startingPage "359" @default.
• W3014980510 abstract "Difference sets have been studied for more than 80 years. Techniques from algebraic number theory, group theory, finite geometry, and digital communications engineering have been used to establish constructive and nonexistence results. We provide a new theoretical approach which dramatically expands the class of $2$-groups known to contain a difference set, by refining the concept of covering extended building sets introduced by Davis and Jedwab in 1997. We then describe how product constructions and other methods can be used to construct difference sets in some of the remaining $2$-groups. We announce the completion of ten years of collaborative work to determine precisely which of the 56,092 nonisomorphic groups of order 256 contain a difference set. All groups of order 256 not excluded by the two classical nonexistence criteria are found to contain a difference set, in agreement with previous findings for groups of order 4, 16, and 64. We provide suggestions for how the existence question for difference sets in $2$-groups of all orders might be resolved." @default.
• W3014980510 created "2020-04-10" @default.
• W3014980510 creator A5008905506 @default.
• W3014980510 creator A5026527285 @default.
• W3014980510 creator A5035429068 @default.
• W3014980510 creator A5037511783 @default.
• W3014980510 creator A5076549827 @default.
• W3014980510 creator A5086693602 @default.
• W3014980510 creator A5087697033 @default.
• W3014980510 creator A5090201337 @default.
• W3014980510 date "2023-03-24" @default.
• W3014980510 modified "2023-09-26" @default.
• W3014980510 title "Constructions of difference sets in nonabelian 2-groups" @default.
• W3014980510 cites W1969193924 @default.
• W3014980510 cites W1980673366 @default.
• W3014980510 cites W1981357736 @default.
• W3014980510 cites W1989704610 @default.
• W3014980510 cites W2009944783 @default.
• W3014980510 cites W2018495157 @default.
• W3014980510 cites W2029700997 @default.
• W3014980510 cites W2049065660 @default.
• W3014980510 cites W2049164495 @default.
• W3014980510 cites W2068065020 @default.
• W3014980510 cites W2069135119 @default.
• W3014980510 cites W2072618862 @default.
• W3014980510 cites W2090096177 @default.
• W3014980510 cites W2164309579 @default.
• W3014980510 cites W2286164450 @default.
• W3014980510 cites W2950610823 @default.
• W3014980510 cites W2972883889 @default.
• W3014980510 cites W4200414147 @default.
• W3014980510 cites W4234803039 @default.
• W3014980510 cites W4248451966 @default.
• W3014980510 cites W4250812048 @default.
• W3014980510 cites W4253354068 @default.
• W3014980510 cites W4254866411 @default.
• W3014980510 doi "https://doi.org/10.2140/ant.2023.17.93" @default.
• W3014980510 hasPublicationYear "2023" @default.
• W3014980510 type Work @default.
• W3014980510 sameAs 3014980510 @default.
• W3014980510 citedByCount "0" @default.
• W3014980510 crossrefType "journal-article" @default.
• W3014980510 hasAuthorship W3014980510A5008905506 @default.
• W3014980510 hasAuthorship W3014980510A5026527285 @default.
• W3014980510 hasAuthorship W3014980510A5035429068 @default.
• W3014980510 hasAuthorship W3014980510A5037511783 @default.
• W3014980510 hasAuthorship W3014980510A5076549827 @default.
• W3014980510 hasAuthorship W3014980510A5086693602 @default.
• W3014980510 hasAuthorship W3014980510A5087697033 @default.
• W3014980510 hasAuthorship W3014980510A5090201337 @default.
• W3014980510 hasBestOaLocation W30149805101 @default.
• W3014980510 hasConcept C10138342 @default.
• W3014980510 hasConcept C111919701 @default.
• W3014980510 hasConcept C118615104 @default.
• W3014980510 hasConcept C134306372 @default.
• W3014980510 hasConcept C136119220 @default.
• W3014980510 hasConcept C154945302 @default.
• W3014980510 hasConcept C162324750 @default.
• W3014980510 hasConcept C177264268 @default.
• W3014980510 hasConcept C178790620 @default.
• W3014980510 hasConcept C182306322 @default.
• W3014980510 hasConcept C185592680 @default.
• W3014980510 hasConcept C199360897 @default.
• W3014980510 hasConcept C202444582 @default.
• W3014980510 hasConcept C2524010 @default.
• W3014980510 hasConcept C2777212361 @default.
• W3014980510 hasConcept C2778701210 @default.
• W3014980510 hasConcept C2781311116 @default.
• W3014980510 hasConcept C33923547 @default.
• W3014980510 hasConcept C41008148 @default.
• W3014980510 hasConcept C90673727 @default.
• W3014980510 hasConcept C9376300 @default.
• W3014980510 hasConcept C98045186 @default.
• W3014980510 hasConceptScore W3014980510C10138342 @default.
• W3014980510 hasConceptScore W3014980510C111919701 @default.
• W3014980510 hasConceptScore W3014980510C118615104 @default.
• W3014980510 hasConceptScore W3014980510C134306372 @default.
• W3014980510 hasConceptScore W3014980510C136119220 @default.
• W3014980510 hasConceptScore W3014980510C154945302 @default.
• W3014980510 hasConceptScore W3014980510C162324750 @default.
• W3014980510 hasConceptScore W3014980510C177264268 @default.
• W3014980510 hasConceptScore W3014980510C178790620 @default.
• W3014980510 hasConceptScore W3014980510C182306322 @default.
• W3014980510 hasConceptScore W3014980510C185592680 @default.
• W3014980510 hasConceptScore W3014980510C199360897 @default.
• W3014980510 hasConceptScore W3014980510C202444582 @default.
• W3014980510 hasConceptScore W3014980510C2524010 @default.
• W3014980510 hasConceptScore W3014980510C2777212361 @default.
• W3014980510 hasConceptScore W3014980510C2778701210 @default.
• W3014980510 hasConceptScore W3014980510C2781311116 @default.
• W3014980510 hasConceptScore W3014980510C33923547 @default.
• W3014980510 hasConceptScore W3014980510C41008148 @default.
• W3014980510 hasConceptScore W3014980510C90673727 @default.
• W3014980510 hasConceptScore W3014980510C9376300 @default.
• W3014980510 hasConceptScore W3014980510C98045186 @default.
• W3014980510 hasIssue "2" @default.
• W3014980510 hasLocation W30149805101 @default.
• W3014980510 hasLocation W30149805102 @default.

• next