The Fujita combinatorial enumeration for the non-rigid group of 2,4-dimethylbenzene | Zendy

Ali Moghani | Zendy; Naghdi Sedeh | Zendy; Reza Sorouhesh | Zendy

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The Fujita combinatorial enumeration for the non-rigid group of 2,4-dimethylbenzene

Author(s) -

Ali Moghani,

Naghdi Sedeh,

Reza Sorouhesh

Publication year - 2010

Publication title -

journal of the serbian chemical society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.227

H-Index - 45

eISSN - 1820-7421

pISSN - 0352-5139

DOI - 10.2298/jsc1001091m

Subject(s) - group (periodic table) , mathematics , combinatorics , integer (computer science) , table (database) , unit (ring theory) , order (exchange) , character table , enumeration , chemistry , computer science , character (mathematics) , geometry , organic chemistry , mathematics education , finance , economics , data mining , programming language

Using non-rigid group theory, it was previously shown that the full non-rigid group of 2,4-dimethylbenzene is an ummatured and isomorphic to the group C2×(C3wrC2) of order 36, where Cn is the cyclic group of order n, the symbols × and wr stand for the direct and wreath products, respectively. Here- in, it is first shown that this group has 12 dominant classes. Then, the Marka- racter Table, the Table of all integer-valued characters and the unit subduced cycle index (USCI) Table of the full non-rigid group of 2,4-dimethylbenzene are successfully derived for the first time.

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