Table of marks and markaracter table of certain nite groups
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Информационные технологии. Вычислительная техника. Обработка данных (4209)
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SHELASH, Haider Baker, ASHRAFI, Ali-Reza. Table of marks and markaracter table of certain nite groups. In: Quasigroups and Related Systems, 2020, vol. 28, nr. 1(43), pp. 159-170. ISSN 1561-2848.
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Quasigroups and Related Systems
Volumul 28, Numărul 1(43) / 2020 / ISSN 1561-2848

Table of marks and markaracter table of certain nite groups

CZU: 004+512.54

Pag. 159-170

Shelash Haider Baker, Ashrafi Ali-Reza
 
University of Kashan
 
 
Disponibil în IBN: 1 iunie 2020


Rezumat

Let G be a nite group and C(G) be a family of representatives of the conjugacy classes of subgroups in G. The table of marks of G is a matrix TM(G) = (aHK), where H;K 2 C(G) and aHK is the number of xed points of the right cosets of H in G under the action of K. The markaracter table of G is a matrix obtained from the table of marks of G by selecting rows and columns corresponding to cyclic subgroups of G. In this paper, the table of marks and markaracter table of some classes of nite groups are computed.

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<dc:creator>Shelash, H.</dc:creator>
<dc:creator>Ashrafi, A.R.</dc:creator>
<dc:date>2020-06-01</dc:date>
<dc:description xml:lang='en'><p>Let G be a nite group and C(G) be a family of representatives of the conjugacy classes of subgroups in G. The table of marks of G is a matrix TM(G) = (aHK), where H;K 2 C(G) and aHK is the number of xed points of the right cosets of H in G under the action of K. The markaracter table of G is a matrix obtained from the table of marks of G by selecting rows and columns corresponding to cyclic subgroups of G. In this paper, the table of marks and markaracter table of some classes of nite groups are computed.</p></dc:description>
<dc:source>Quasigroups and Related Systems 43 (1) 159-170</dc:source>
<dc:title>Table of marks and markaracter table of certain nite groups</dc:title>
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