Characterization of some finite simple groups by the set of orders of vanishing elements and order | Zendy

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Characterization of some finite simple groups by the set of orders of vanishing elements and order

Author(s) -

Soleyman Askary

Publication year - 2021

Publication title -

ukrains’kyi matematychnyi zhurnal

Language(s) - English

Resource type - Journals

ISSN - 1027-3190

DOI - 10.37863/umzh.v73i11.1069

Subject(s) - simple group , mathematics , conjecture , classification of finite simple groups , finite group , simple (philosophy) , prime (order theory) , order (exchange) , combinatorics , element (criminal law) , character (mathematics) , set (abstract data type) , group (periodic table) , characterization (materials science) , sylow theorems , pure mathematics , discrete mathematics , group of lie type , group theory , physics , geometry , computer science , law , philosophy , optics , epistemology , quantum mechanics , political science , programming language , finance , economics

UDC 512.5 Характеризацiя деяких скiнченних простих груп множиною порядкiв зникаючих елементiв та порядку Let be a finite group. We say that an element of is a vanishing element if there exists an irreducible complex character of such that . Ghasemabadi, Iranmanesh, Mavadatpour (2015), present the following conjecture: Let be a finite group and a finite nonabelian simple group such that and . Then . We answer in affirmative this conjecture for , where and either or is a prime number and , where and either or is prime.

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