Open AccessThe absolute center of p-groups of maximal class
Author(s) -
R. Orfi,
S. Fouladi
Publication year - 2020
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil2013483o
Subject(s) - mathematics , center (category theory) , combinatorics , class (philosophy) , order (exchange) , group (periodic table) , physics , crystallography , chemistry , finance , quantum mechanics , artificial intelligence , computer science , economics
The purpose of this paper is to determine L(G), the absolute center of the group G, when G is a p-group of maximal class. Particularly we find L(G) for metabelian p-groups of maximal class, all p-groups of maximal class of order less than p6 and p-groups of maximal class for p = 2,3.