Some studies on algebraic integers in Q(i, √3) by using coset diagram

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초록

In this paper, we studied the action of Picard modular group PSL(2,Z[i]) denoted by on the biquadratic field Q(i, root 3). We found patern of algebraic integers formed by this action. To prove results we used coset diagrams for the action of Gamma on Q(i, root 3), proponded by Graham Higman.

키워드

Algebraic integers; Coset diagram; Biquadratic field; QUOTIENTS
제목
Some studies on algebraic integers in Q(i, √3) by using coset diagram
저자
Anis, Saima; Song, Seok-Zun; Jun, Young Bae; Smarandache, Florentin
DOI
10.1007/s13366-018-0395-5
발행일
2019-03
유형
Article
저널명
Beitrage zur Algebra und Geometrie
권
60
호
1
페이지
157 ~ 165