This is the 18228th most frequent Russian word.
чеченского
"Chechen" – relating to Chechnya or its people, language, or culture.
In this sentence, 'чеченского' functions as a genitive case adjective describing the noun 'автора' (author). It indicates the nationality or ethnicity of the author.
Я прочитал книгу чеченского автора.
I read a book by a Chechen author.
Here, 'чеченского' is a genitive case adjective modifying 'языка' (language), specifying the type of language being studied.
Мы изучаем особенности чеченского языка.
We are studying the features of the Chechen language.
In this example, 'чеченского' describes 'танца' (dance) in the genitive case, denoting the origin or style of the dance.