NATIONAL BIBLIOGRAPHY NUMBER
Number
۱۸۵۰۶پ
LANGUAGE OF THE ITEM
.Language of Text, Soundtrack etc
per
TITLE AND STATEMENT OF RESPONSIBILITY
Title Proper
احتمال جابجایی و زبرحل پذیری گروههای متناهی
First Statement of Responsibility
/زهرا شیری باریس
.PUBLICATION, DISTRIBUTION, ETC
Name of Publisher, Distributor, etc.
: علوم ریاضی
Date of Publication, Distribution, etc.
، ۱۳۹۶
Name of Manufacturer
، راشدی
NOTES PERTAINING TO PUBLICATION, DISTRIBUTION, ETC.
Text of Note
چاپی
DISSERTATION (THESIS) NOTE
Dissertation or thesis details and type of degree
کارشناسی ارشد
Discipline of degree
ریاضی محض، گرایش جبرنظریه گروهها
Date of degree
۱۳۹۶/۱۱/۰۸
Body granting the degree
تبریز
SUMMARY OR ABSTRACT
Text of Note
For a finite group G, let Pr(G) denote the probability that a randomly chosen pair of elements of G commute. We prove that if Pr(G) > 1/s for some integer s > 1 and G splits over an abelian normal nontrivial subgroup N, then G has a nontrivial conjugacy class inside N of size at most s 1. We also extend two results of Barry, MacHale, and Ni She on the commuting probability in connection whit supersolvability of finite groups. In particular, we prove that if Pr(G) > 5/16 then either G is supersolvable, or G isoclinic to A4, or G/Z(G) is isoclinic to A4.
PERSONAL NAME - PRIMARY RESPONSIBILITY
شیری باریس، زهرا
PERSONAL NAME - SECONDARY RESPONSIBILITY
جعفری، محمدحسین، استاد راهنما
مهتدی فر، حسن، استاد مشاور
ELECTRONIC LOCATION AND ACCESS
Public note
سیاه و سفید
نمایهسازی قبلی
