Titlebook: Combinatorics and Finite Geometry; Steven T. Dougherty Textbook 2020 The Editor(s) (if applicable) and The Author(s), under exclusive lice

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Automorphism Groups,tructure is a group. It is generally the first structure one encounters in studying abstract algebra. We shall begin with a very elementary study of finite groups, and then we shall study the groups associated with various combinatorial structures.

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Sèmévo Ida Tognisse,Jules Degilatructure is a group. It is generally the first structure one encounters in studying abstract algebra. We shall begin with a very elementary study of finite groups, and then we shall study the groups associated with various combinatorial structures.

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Anuj Gupta,Kapil Gupta,Sumit SarohaThis chapter describes mutually orthogonal Latin squares by beginning with their origins in the 36 officer problem. It describes the major open problems concerning Latin squares. Further results are given describing the structure of Latin squares.

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D. N. Katole,M. B. Daigavane,P. M. DaigavaneThis chapter gives fundamental results on finite affine and projective planes. It provides detailed proofs on various counting results concerning these planes such as the number of points, lines, points on a line, and lines through a point. It describes the canonical relation between affine planes and mutually orthogonal Latin squares.

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Rashmi Ashok Panherkar,Prajakta VaidyaChapter 5 gives foundational results on graph theory including a study of simple and directed graphs. It investigates the coloring of graphs and the connection between directed graphs and relations.

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