Several quantitative characterizations of some specific groups
A. Mohammadzadeh, Ali Reza Moghaddamfar (2017)
Commentationes Mathematicae Universitatis Carolinae
Similarity:
Let be a finite group and let be the set of prime divisors of for which . The Gruenberg-Kegel graph of , denoted , is defined as follows: its vertex set is and two different vertices and are adjacent by an edge if and only if contains an element of order . The degree of a vertex in is denoted by and the -tuple is said to be the degree pattern of . Moreover, if is the vertex set of a connected component of , then the largest -number which divides , is...