|
|
|
|
FINITE GROUPS OF THE SAME TYPE AS SUZUKI GROUPS
|
|
|
|
|
|
|
|
نویسنده
|
alavi hassan ,daneshkhah ashraf ,parvizi mosaed hosein
|
|
منبع
|
international journal of group theory - 2019 - دوره : 8 - شماره : 1 - صفحه:35 -42
|
|
چکیده
|
for a finite group g and a positive integer n, let g(n) be the set of all elements in g such that x^n=1. the groups g and h are said to be of the same (order) type if |g(n)|=|h(n)|, for all n. the main aim of this paper is to show that if g is a finite group of the same type as suzuki groups sz(q), where q=2^2m+1≥8, then g is isomorphic to sz(q). this addresses to the well-known j. g. thompson's problem (1987) for simple groups.
|
|
کلیدواژه
|
Suzuki group ,Thompson's problem ,element order.
|
|
آدرس
|
bu-ali sina university, faculty of science, department of mathematics, Iran, bu-ali sina university, faculty of science, department of mathematics, Iran, alvand institute of higher education, Iran
|
|
پست الکترونیکی
|
h.parvizi.mosaed@gmail.com
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Authors
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|