Open AccessFinite Groups of Order p2qr in which the Number of Elements of Maximal Order Is p3q∗
Author(s) -
Qingliang Zhang,
Liang Xu
Publication year - 2022
Publication title -
journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.252
H-Index - 13
eISSN - 2314-4785
pISSN - 2314-4629
DOI - 10.1155/2022/2294627
Subject(s) - mathematics , order (exchange) , combinatorics , conjecture , finite group , group (periodic table) , discrete mathematics , finance , economics , chemistry , organic chemistry
Let G be a finite group. We know that the order of G and the number of elements of maximal order in G are closely related to the structure of G . This topic involves Thompson’s conjecture. In this paper, we classify the finite groups of order p 2 q r in which the number of elements of maximal order is p 3 q , where p < q < r are different primes.
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