FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2279396512> ?p ?o ?g. }

• W2279396512 abstract "The minimal faithful degree of a finite group G, denoted by μ(G), is the smallest non-negative integer n, such that G is isomorphic to a subgroup of Sn, the symmetric group on n symbols. We study the minimal faithful degrees of certain classes of finite groups and the additivity property of μ in relation to a direct product of finite groups. Concrete examples will be provided on how to calculate μ(G), for various classes of finite groups. It is not difficult to show that if H is a subgroup of G, then μ(H) ≤ μ(G). However, if N is a normal subgroup of G, it is possible to have μ(G/N) > μ(G). If the latter holds, we call G an exceptional group, N and G/N are called distinguished subgroup and distinguished quotient, respectively. We investigate the extent to which certain classes of groups satisfy the exceptionality property. In the particular case of p-groups (i.e., groups of order pn, where p is prime and n is a positive integer), for p5, we provide examples of exceptional and non-exceptional p-groups. Conditions under which a quotient group of a finite group is distinguished will also be explored." @default.
• W2279396512 created "2016-06-24" @default.
• W2279396512 creator A5051580459 @default.
• W2279396512 date "2014-01-01" @default.
• W2279396512 modified "2023-09-27" @default.
• W2279396512 title "On Minimal Degrees of Faithful Permutation Representations of Finite Groups" @default.
• W2279396512 cites W1510478584 @default.
• W2279396512 cites W1523208841 @default.
• W2279396512 cites W1531437420 @default.
• W2279396512 cites W1589940326 @default.
• W2279396512 cites W1645907992 @default.
• W2279396512 cites W1984958224 @default.
• W2279396512 cites W2007393290 @default.
• W2279396512 cites W2023646834 @default.
• W2279396512 cites W2026479791 @default.
• W2279396512 cites W2032949675 @default.
• W2279396512 cites W2039281176 @default.
• W2279396512 cites W2046878661 @default.
• W2279396512 cites W2052522776 @default.
• W2279396512 cites W2059683211 @default.
• W2279396512 cites W2065623296 @default.
• W2279396512 cites W2091033619 @default.
• W2279396512 cites W2103795164 @default.
• W2279396512 cites W2112117194 @default.
• W2279396512 cites W2121707528 @default.
• W2279396512 cites W2132746422 @default.
• W2279396512 cites W2143626222 @default.
• W2279396512 cites W2322568427 @default.
• W2279396512 cites W2798943694 @default.
• W2279396512 cites W3103550849 @default.
• W2279396512 cites W610260826 @default.
• W2279396512 hasPublicationYear "2014" @default.
• W2279396512 type Work @default.
• W2279396512 sameAs 2279396512 @default.
• W2279396512 citedByCount "0" @default.
• W2279396512 crossrefType "dissertation" @default.
• W2279396512 hasAuthorship W2279396512A5051580459 @default.
• W2279396512 hasConcept C10138342 @default.
• W2279396512 hasConcept C105515060 @default.
• W2279396512 hasConcept C114614502 @default.
• W2279396512 hasConcept C118615104 @default.
• W2279396512 hasConcept C121332964 @default.
• W2279396512 hasConcept C128622974 @default.
• W2279396512 hasConcept C136170076 @default.
• W2279396512 hasConcept C140865510 @default.
• W2279396512 hasConcept C160826032 @default.
• W2279396512 hasConcept C162324750 @default.
• W2279396512 hasConcept C178790620 @default.
• W2279396512 hasConcept C182306322 @default.
• W2279396512 hasConcept C184992742 @default.
• W2279396512 hasConcept C185592680 @default.
• W2279396512 hasConcept C199360897 @default.
• W2279396512 hasConcept C199422724 @default.
• W2279396512 hasConcept C20725272 @default.
• W2279396512 hasConcept C21308566 @default.
• W2279396512 hasConcept C24890656 @default.
• W2279396512 hasConcept C2777404646 @default.
• W2279396512 hasConcept C2781311116 @default.
• W2279396512 hasConcept C30236536 @default.
• W2279396512 hasConcept C33923547 @default.
• W2279396512 hasConcept C41008148 @default.
• W2279396512 hasConcept C92957085 @default.
• W2279396512 hasConcept C95627345 @default.
• W2279396512 hasConcept C97137487 @default.
• W2279396512 hasConceptScore W2279396512C10138342 @default.
• W2279396512 hasConceptScore W2279396512C105515060 @default.
• W2279396512 hasConceptScore W2279396512C114614502 @default.
• W2279396512 hasConceptScore W2279396512C118615104 @default.
• W2279396512 hasConceptScore W2279396512C121332964 @default.
• W2279396512 hasConceptScore W2279396512C128622974 @default.
• W2279396512 hasConceptScore W2279396512C136170076 @default.
• W2279396512 hasConceptScore W2279396512C140865510 @default.
• W2279396512 hasConceptScore W2279396512C160826032 @default.
• W2279396512 hasConceptScore W2279396512C162324750 @default.
• W2279396512 hasConceptScore W2279396512C178790620 @default.
• W2279396512 hasConceptScore W2279396512C182306322 @default.
• W2279396512 hasConceptScore W2279396512C184992742 @default.
• W2279396512 hasConceptScore W2279396512C185592680 @default.
• W2279396512 hasConceptScore W2279396512C199360897 @default.
• W2279396512 hasConceptScore W2279396512C199422724 @default.
• W2279396512 hasConceptScore W2279396512C20725272 @default.
• W2279396512 hasConceptScore W2279396512C21308566 @default.
• W2279396512 hasConceptScore W2279396512C24890656 @default.
• W2279396512 hasConceptScore W2279396512C2777404646 @default.
• W2279396512 hasConceptScore W2279396512C2781311116 @default.
• W2279396512 hasConceptScore W2279396512C30236536 @default.
• W2279396512 hasConceptScore W2279396512C33923547 @default.
• W2279396512 hasConceptScore W2279396512C41008148 @default.
• W2279396512 hasConceptScore W2279396512C92957085 @default.
• W2279396512 hasConceptScore W2279396512C95627345 @default.
• W2279396512 hasConceptScore W2279396512C97137487 @default.
• W2279396512 hasLocation W22793965121 @default.
• W2279396512 hasOpenAccess W2279396512 @default.
• W2279396512 hasPrimaryLocation W22793965121 @default.
• W2279396512 hasRelatedWork W1529069840 @default.
• W2279396512 hasRelatedWork W1590814278 @default.
• W2279396512 hasRelatedWork W1596185498 @default.
• W2279396512 hasRelatedWork W1643363244 @default.
• W2279396512 hasRelatedWork W1977840885 @default.
• W2279396512 hasRelatedWork W1984978101 @default.

• next