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12588

Trace Classes and Fixed Points for the Extended Modular Group \overline{G}

The extended modular group \overline{G}=PGL(2,\mathbb{Z}) is the group obtained by adding the reflection R(z)=1/\overline{z} to the generators of the modular group G =PSL(2, {Z}). In this paper, we find the trace classes of the extended modular group \overline{G}. Using this, we classify the elements of \overline{G}.

Anahtar Kelimeler:

Extended modular group, trace class, fixed points

Trace Classes and Fixed Points for the Extended Modular Group \overline{G}

The extended modular group \overline{G}=PGL(2,\mathbb{Z}) is the group obtained by adding the reflection R(z)=1/\overline{z} to the generators of the modular group G =PSL(2, {Z}). In this paper, we find the trace classes of the extended modular group \overline{G}. Using this, we classify the elements of \overline{G}.

Keywords:

Extended modular group, trace class, fixed points,

Turkish Journal of Mathematics-Cover

ISSN: 1300-0098
Yayın Aralığı: 6
Yayıncı: TÜBİTAK

Arşiv

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