Bookcover of Signature Cycles and Graphs
Booktitle:

Signature Cycles and Graphs

Suborbital Graphs for the Normalizer

LAP LAMBERT Academic Publishing (2012-05-28 )

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ISBN-13:

978-3-659-12990-2

ISBN-10:
3659129909
EAN:
9783659129902
Book language:
English
Blurb/Shorttext:
In this book, the main subject is to find some invariants of the signature of the normalizer by using suborbital graphs. In Chapter 1, the structure of Non-Euclidean Crystallographic groups is discussed and some properties of PSL(2,R), Γ Modular group, congruence subgroups, normalizers of the congruence subgroups and also the preliminary definitions we require for discrete groups, Riemann surfaces, fundamental domains, graph theory and imprimitive action are given. In Chapter 2, the suborbital graphs of normalizer and number of orbits of congruence subgroup Γ_0(N) of Modular group in extended rational number set are examined. Edge and circuit conditions on graphs arising from the action of congruence subgroup Γ_0(N) on extended rational number set are determined. And , as the core of the thesis are found necessary and sufficient conditions for the suborbital graph F_(u,N) to be a forest. That is, it is shown that F_(u,N) suborbital graph is a forest if and only if it contains no n-gon , circuits of length n.
Publishing house:
LAP LAMBERT Academic Publishing
Website:
https://www.lap-publishing.com/
By (author) :
Murat Beşenk
Number of pages:
124
Published on:
2012-05-28
Stock:
Available
Category:
Mathematics
Price:
59.00 €
Keywords:
Index, signature, Modular Group, Suborbital graphs, Transitive permutation groups, Normalizer

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