In mathematics, a group G is said to be complete if every automorphism of G is inner, and it is centerless; that is, it has a trivial outer automorphism group and trivial center.
Equivalently, a group is complete if the conjugation map, G → Aut(G) (sending an element g to conjugation by g), is an isomorphism: injectivity implies that only conjugation by the identity element is the identity automorphism, meaning the group is centerless, while surjectivity implies it has no outer automorphisms.
mathematics, a group G is said to be complete if every automorphism of G is inner, and it is centerless; that is, it has a trivial outer automorphism group and trivial...
the group operation is continuous. Algebraic group – Algebraic variety with a group structure Complete field – algebraic structure that is complete relative...
For n ≠ 2, 6, Sn is a completegroup: its center and outer automorphism group are both trivial. For n = 2, the automorphism group is trivial, but S2 is...
A Complete Unknown is an upcoming American biographical historical drama film directed by James Mangold and written by Mangold and Jay Cocks, based on...
The End Complete is the third album by American death metal band Obituary. It was released on April 21, 1992. This album marked the return of guitarist...
Complete Madness is the first greatest hits album by ska/pop group Madness. It was released in 1982 and included Madness' biggest hits from their first...
is called complete (or a Cauchy space) if every Cauchy sequence of points in M has a limit that is also in M. Intuitively, a space is complete if there...
"Complete Control" is a song by The Clash, released as a 7" single and featured on the U.S. release of their debut album. The song is often cited as one...
Music Complete is the tenth studio album by English rock band New Order. It was released on 25 September 2015 by Mute Records, their debut on the label...
A complete protein or whole protein is a food source of protein that contains an adequate proportion of each of the nine essential amino acids necessary...
this structure it remains a lattice but ceases to be complete. The subgroups of any given group under inclusion. (While the infimum here is the usual...
A complete blood count (CBC), also known as a full blood count (FBC), is a set of medical laboratory tests that provide information about the cells in...
The Complete Robot (1982) is a collection of 31 of the 37 science fiction short stories about robots by American writer Isaac Asimov, written between 1939...
terminal object). A group, considered as a category with a single object, is complete if and only if it is trivial. A nontrivial group has pullbacks and...
uniquely determined simple groups, by the Jordan–Hölder theorem. The complete classification of finite simple groups, completed in 2004, is a major milestone...
In mathematical logic, a theory is complete if it is consistent and for every closed formula in the theory's language, either that formula or its negation...
geometry. A completegroup scheme over a field need not be commutative, however; for example, any finite group scheme is complete. A group scheme G over...
Complete Unknown is a 2016 drama mystery thriller film, directed by Joshua Marston, from a screenplay by Marston and Julian Sheppard. It stars Rachel Weisz...
2013, Complete Genomics was acquired by BGI Group, a genomics services company in Shenzhen, Guangdong, China. After the acquisition, Complete Genomics...
is a complete field. Extending the reals by its algebraic closure gives the field C {\displaystyle \mathbb {C} } (since its absolute Galois group is Z...
coalition of advocacy groups to refer both to a comprehensive approach to street design and to the coalition itself. The National Complete Streets Coalition...
Complete Collapse is the seventh studio album by American rock band Sleeping with Sirens. It was released on October 14, 2022, by Sumerian Records. It...
| Tata group". www.tata.com. Archived from the original on 28 May 2022. Retrieved 4 April 2022. "Our Timeline: The Complete Story | Tata group". www.tata...
Complete Discography is a 1989 compilation album released by the American hardcore punk band Minor Threat on the band's own Dischord Records. As the name...
Ink Complete is progressive instrumental band Spastic Ink's debut album, released in 1997 via Germany's Dream Circle label and re-issued in 2000 on EclecticElectric...