: Gal ( L / K )< sup > ab </ sup > → C < sub > K </ sub > / N < sub > L / K </ sub > C < sub > L </ sub >

The following year however, a chronicler who used the pen name Gal praised the anti-academic independents ' salon, supporting its members Ştefan Luchian, Alexandru Bogdan-Piteşti and Vermont ( whose portraits it featured as illustrations for the texts, alongside a notorious caricature of C. I. Stăncescu by Nicolae Petrescu-Găină ).

If E / F is a Galois extension, then Aut ( E / F ) is called the Galois group of ( the extension ) E over F, and is usually denoted by Gal ( E / F ).

* Gal ( F / F ) is the trivial group that has a single element, namely the identity automorphism.

The group Gal ( L / Q ) is isomorphic to S < sub > 3 </ sub >, the dihedral group of order 6, and L is in fact the splitting field of x < sup > 3 </ sup > − 2 over Q.

GF ( q < sup > n </ sup >) denote the Galois fields of order q and q < sup > n </ sup > respectively, then Gal ( E / F ) is cyclic of order n.

If E / F is a Galois extension, then Gal ( E / F ) can be given a topology, called the Krull topology, that makes it into a profinite group.

Specifically, if L / K is a Galois extension, we consider the group G = Gal ( L / K ) consisting of all field automorphisms of L which keep all elements of K fixed.

This group is the inverse limit of the finite groups Gal ( F / K ), where F ranges over all intermediate fields such that F / K is a finite Galois extension.

The topology we obtain on Gal ( L / K ) is known as the Krull topology after Wolfgang Krull.

* " Sorry " / " Since My Best Gal Turned Me Down ", recorded on October 25, 1927, in New York and released as Okeh 41001

If E is such a subfield, write Gal ( L / E ) for the group of field automorphisms of L that hold E fixed.

Let B be the set of subgroups of Gal ( L / K ), ordered by inclusion.

For such a subgroup G, define Fix ( G ) to be the field consisting of all elements of L that are held fixed by all elements of G. Then the maps E Gal ( L / E ) and G Fix ( G ) form an antitone Galois connection.

* My Gal Sal and Other Favorites ( 1965, Decca DL 4606 / 74606 )

If E is a finite Galois extension of Q < sub > p </ sub > and the building is constructed from SL < sub > n </ sub >( E ) instead of SL < sub > n </ sub >( Q < sub > p </ sub >), the Galois group Gal ( E / Q < sub > p </ sub >) will also act by automorphisms on the building.

Over an algebraically closed field, this and its triple cover are the only forms ; however, over other fields, there are often many other forms, or “ twists ” of E < sub > 6 </ sub >, which are classified in the general framework of Galois cohomology ( over a perfect field k ) by the set H < sup > 1 </ sup >( k, Aut ( E < sub > 6 </ sub >)) which, because the Dynkin diagram of E < sub > 6 </ sub > ( see below ) has automorphism group Z / 2Z, maps to H < sup > 1 </ sup >( k, Z / 2Z ) = Hom ( Gal ( k ), Z / 2Z ) with kernel H < sup > 1 </ sup >( k, E < sub > 6, ad </ sub >).

In R. Gal & J. Mangelsdorff ( Eds.

* " Sleepy Time Gal " w. Joseph R. Alden & Raymond B. Egan m. Ange Lorenzo & Richard A. Whiting

* There's Only One Way to Keep a Gal, arranged by W. R. Dorsey

* Gal Level, award-winning R & B girl duo from Windhoek, Namibia

The Namibian R & B / pop genre has produced continental celebrated duo Gal Level and solo singers African Boy, Christi Nomath Warner ( who uses her poetry as basis for her lyrics ) & Lady May.

Strongheart ( Adios-Direct Gal ), a fair-looking sorrel colt, knows nothing but pace and has been right there in the best miles.

* Gal ( Q (√ 2 )/ Q ) has two elements, the identity automorphism and the automorphism which exchanges √ 2 and −√ 2.

The name has fallen into disfavor and is now considered to be pejorative, possibly because of a folk etymology for " Galla " ( that it came from Qal la or " قال لا ," pronounced similar to Gal la, Arabic for " he said no ") that implies they refused Muhammad's offer to convert to Islam.

A number of two-player variations use a third colour for passive pieces, for example variation The Pillar ( with a fixed marble in the centre of the board ), which has been examined to some depth by Alex Borello and Nicolas Le Gal.

Throughout her career Plimpton has appeared in many feature films including critically successful films Running on Empty ( 1988 ), Parenthood ( 1989 ), Eye of God ( 1997 ), The Sleepy Time Gal ( 2001 ), Hair High ( 2004 ) and Small Town Murder Songs ( 2011 ).

He has other family member interviewers who show the same behavior, such as " Lyndon " ( which plays off wacky political figure Lyndon LaRouche ), " Geek ", " Giddy ", " Gip ," " Goon ", " Gawp ", and " Gawk ", along with females named " Gay ", " Grandma ", " Gab ", " Gin ", " Gidget ", and " Gal ".

hanja Shi ( 石 ) has meaning as Stone, thus Jie people ruler Shi Le ( 石勒 ) get surname Shi ( 石 ) from ' Gal ' because Gal is Stone.

For his work, Gal has received numerous awards, including the Karl Hofer Prize Berlin 2001, a fellowship from the DAAD Artists in Berlin Programme 2003, the Austrian State Scholarship for Composition 2004, and the Outstanding Artist Award for Music of the City of Vienna 2010.

* The song has occasionally been sung as " The Gal that Got Away " by male singers such as Frank Sinatra and Bobby Darin.

The two wrote Nelson's first composition, the song " My Gal ", and she introduced him to Johnny Cash and Tex Ritter.

Although Lester and Fuqua are credited as forming a spinoff group called the Moonlighters, recording in 1955 for the Chess subsidiary label Checker, they paired on only two numbers released as by the Moonlighters, " So All Alone " and " New Gal.

In 1942, Hayworth also appeared in two other pictures, Tales of Manhattan and My Gal Sal.

She was signed to play opposite Dan Dailey in For Me and My Gal in 1942, but the two actors were removed from the picture during rehearsals and replaced by Gene Kelly and Judy Garland.

They had two Sherman tanks ( the Colorado and the China Gal ), 5 light tanks in support and engineers in direct support.

The Modernaires released a 45 single on Coral Records, 9-61110, A Salute to Glenn Miller, which included medleys in two parts from the movie soundtrack, Parts 1 and 2: ( I've Got a Gal In ) Kalamazoo / Moonlight Cocktail / Elmer's Tune / Moonlight Serenade / Chattanooga Choo Choo / String of Pearls / Serenade In Blue / At Last / Perfidia, that reached number 29 on the Billboard charts in 1954.

The novel was serialised in the Star Weekly Novel, a Toronto newspaper supplement, in two abridged instalments from February 10 to February 17, 1973 with each issue containing the same cover illustration by Laszlo Gal.

In North America the novel was serialised in the Star Weekly Novel, a Toronto newspaper supplement, in two abridged instalments from October 16 to October 23, 1971 with each issue containing the same cover illustration by Laszlo Gal.

There are two main types of Gal Circles, Nago-cir ( comfort circles ) and Ive-cir ( event circles ).

* For any subgroup H of Gal ( E / F ), the corresponding field, usually denoted E < sup > H </ sup >, is the set of those elements of E which are fixed by every automorphism in H.

In this case, the restriction of the elements of Gal ( E / F ) to E < sup > H </ sup > induces an isomorphism between Gal ( E < sup > H </ sup >/ F ) and the quotient group Gal ( E / F )/ H.