|
|
|
|
the minimum sum of element orders of finite groups
|
|
|
|
|
|
|
|
نویسنده
|
jahani m. ,marefat y. ,refaghat h. ,vakili fasaghandisi b.
|
|
منبع
|
international journal of group theory - 2021 - دوره : 10 - شماره : 2 - صفحه:55 -60
|
|
چکیده
|
Let g be a finite group and ψ(g) = ∑ g∈g^o(g), where o(g) denotes the order of g ∈ g. we show that the conjecture 4.6.5 posed in [group theory and computation, (2018) 59-90], is incorrect. in fact, we find a pair of finite groups g and s of the same order such that ψ(g) < ψ(s), with g solvable and s simple.
|
|
کلیدواژه
|
finite group ,element orders sum ,solvable group ,simple group.
|
|
آدرس
|
islamic azad university, shabestar branch, department of mathematics, iran, islamic azad university, shabestar branch, department of mathematics, iran, islamic azad university, tabriz branch, department of mathematics, iran, islamic azad university, shabestar branch, department of mathematics, iran
|
|
پست الکترونیکی
|
b.vakili@iaushab.ac.ir
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Authors
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|