Deprecated: $wgMWOAuthSharedUserIDs=false is deprecated, set $wgMWOAuthSharedUserIDs=true, $wgMWOAuthSharedUserSource='local' instead [Called from MediaWiki\HookContainer\HookContainer::run in /var/www/html/w/includes/HookContainer/HookContainer.php at line 135] in /var/www/html/w/includes/Debug/MWDebug.php on line 372
Parametrization of torsion units in \(U_1(\mathbb{Z} S_3)\). - MaRDI portal

Deprecated: Use of MediaWiki\Skin\SkinTemplate::injectLegacyMenusIntoPersonalTools was deprecated in Please make sure Skin option menus contains `user-menu` (and possibly `notifications`, `user-interface-preferences`, `user-page`) 1.46. [Called from MediaWiki\Skin\SkinTemplate::getPortletsTemplateData in /var/www/html/w/includes/Skin/SkinTemplate.php at line 691] in /var/www/html/w/includes/Debug/MWDebug.php on line 372

Deprecated: Use of MediaWiki\Skin\BaseTemplate::getPersonalTools was deprecated in 1.46 Call $this->getSkin()->getPersonalToolsForMakeListItem instead (T422975). [Called from Skins\Chameleon\Components\NavbarHorizontal\PersonalTools::getHtml in /var/www/html/w/skins/chameleon/src/Components/NavbarHorizontal/PersonalTools.php at line 66] in /var/www/html/w/includes/Debug/MWDebug.php on line 372

Deprecated: Use of QuickTemplate::(get/html/text/haveData) with parameter `personal_urls` was deprecated in MediaWiki Use content_navigation instead. [Called from MediaWiki\Skin\QuickTemplate::get in /var/www/html/w/includes/Skin/QuickTemplate.php at line 131] in /var/www/html/w/includes/Debug/MWDebug.php on line 372

Parametrization of torsion units in \(U_1(\mathbb{Z} S_3)\). (Q880462)

From MaRDI portal





scientific article; zbMATH DE number 5153112
Language Label Description Also known as
English
Parametrization of torsion units in \(U_1(\mathbb{Z} S_3)\).
scientific article; zbMATH DE number 5153112

    Statements

    title
    Parametrization of torsion units in \(U_1(\mathbb{Z} S_3)\). (English)
    0 references
    author
    Tevfik Bilgin
    0 references
    publication date
    15 May 2007
    0 references
    review text
    Summary: In this study, a representation of the group ring \(\mathbb{Z} S_3\) is obtained by using a faithful irreducible representation of \(S_3\) of degree 2. In \(\mathbb{Z} S_3\), all torsion units are expressed in terms of parameters by means of this representation. It is shown that any torsion unit in \(U_1(\mathbb{Z} S_3)\) can be expressed in terms of two parameters.
    0 references
    zbMATH Keywords
    faithful irreducible representations
    0 references
    torsion units
    0 references
    group rings
    0 references

    Identifiers

    Mathematics Subject Classification ID
    16U60
    0 references
    20C05
    0 references
    16S34
    0 references
    zbMATH DE Number
    5153112
    0 references
    OpenAlex ID
    W150683163
    0 references
    DOI
    10.3390/MCA9010073
    0 references
     
    Retrieved from "https://mardi.schubotz.org/w/index.php?title=Item:Q880462&oldid=44026241"
    Powered by MediaWiki