Matches in SemOpenAlex for { <https://semopenalex.org/work/W4287717557> ?p ?o ?g. }
Showing items 1 to 65 of
65
with 100 items per page.
- W4287717557 abstract "Given a uniquely 2-divisible group $G$, we study a commutative loop $(G,circ)$ which arises as a result of a construction in cite{baer}. We investigate some general properties and applications of $circ$ and determine a necessary and sufficient condition on $G$ in order for $(G, circ)$ to be Moufang. In cite{greer14}, it is conjectured that $G$ is metabelian if and only if $(G, circ)$ is an automorphic loop. We answer a portion of this conjecture in the affirmative: in particular, we show that if $G$ is a split metabelian group of odd order, then $(G, circ)$ is automorphic." @default.
- W4287717557 created "2022-07-26" @default.
- W4287717557 creator A5040538959 @default.
- W4287717557 creator A5053155123 @default.
- W4287717557 date "2020-07-16" @default.
- W4287717557 modified "2023-09-28" @default.
- W4287717557 title "Automorphic loops and metabelian groups" @default.
- W4287717557 doi "https://doi.org/10.48550/arxiv.2007.08419" @default.
- W4287717557 hasPublicationYear "2020" @default.
- W4287717557 type Work @default.
- W4287717557 citedByCount "0" @default.
- W4287717557 crossrefType "posted-content" @default.
- W4287717557 hasAuthorship W4287717557A5040538959 @default.
- W4287717557 hasAuthorship W4287717557A5053155123 @default.
- W4287717557 hasBestOaLocation W42877175571 @default.
- W4287717557 hasConcept C10138342 @default.
- W4287717557 hasConcept C114614502 @default.
- W4287717557 hasConcept C121332964 @default.
- W4287717557 hasConcept C132817261 @default.
- W4287717557 hasConcept C136170076 @default.
- W4287717557 hasConcept C162324750 @default.
- W4287717557 hasConcept C182306322 @default.
- W4287717557 hasConcept C183778304 @default.
- W4287717557 hasConcept C184670325 @default.
- W4287717557 hasConcept C200681373 @default.
- W4287717557 hasConcept C202444582 @default.
- W4287717557 hasConcept C203420230 @default.
- W4287717557 hasConcept C2780990831 @default.
- W4287717557 hasConcept C2781311116 @default.
- W4287717557 hasConcept C33923547 @default.
- W4287717557 hasConcept C62520636 @default.
- W4287717557 hasConcept C81008192 @default.
- W4287717557 hasConceptScore W4287717557C10138342 @default.
- W4287717557 hasConceptScore W4287717557C114614502 @default.
- W4287717557 hasConceptScore W4287717557C121332964 @default.
- W4287717557 hasConceptScore W4287717557C132817261 @default.
- W4287717557 hasConceptScore W4287717557C136170076 @default.
- W4287717557 hasConceptScore W4287717557C162324750 @default.
- W4287717557 hasConceptScore W4287717557C182306322 @default.
- W4287717557 hasConceptScore W4287717557C183778304 @default.
- W4287717557 hasConceptScore W4287717557C184670325 @default.
- W4287717557 hasConceptScore W4287717557C200681373 @default.
- W4287717557 hasConceptScore W4287717557C202444582 @default.
- W4287717557 hasConceptScore W4287717557C203420230 @default.
- W4287717557 hasConceptScore W4287717557C2780990831 @default.
- W4287717557 hasConceptScore W4287717557C2781311116 @default.
- W4287717557 hasConceptScore W4287717557C33923547 @default.
- W4287717557 hasConceptScore W4287717557C62520636 @default.
- W4287717557 hasConceptScore W4287717557C81008192 @default.
- W4287717557 hasLocation W42877175571 @default.
- W4287717557 hasOpenAccess W4287717557 @default.
- W4287717557 hasPrimaryLocation W42877175571 @default.
- W4287717557 hasRelatedWork W1978042415 @default.
- W4287717557 hasRelatedWork W1988476087 @default.
- W4287717557 hasRelatedWork W2051006890 @default.
- W4287717557 hasRelatedWork W2060517985 @default.
- W4287717557 hasRelatedWork W2069613260 @default.
- W4287717557 hasRelatedWork W2097505827 @default.
- W4287717557 hasRelatedWork W2963303659 @default.
- W4287717557 hasRelatedWork W2963693154 @default.
- W4287717557 hasRelatedWork W2963757170 @default.
- W4287717557 hasRelatedWork W1813975265 @default.
- W4287717557 isParatext "false" @default.
- W4287717557 isRetracted "false" @default.
- W4287717557 workType "article" @default.