<abstract xmlns="http://www.w3.org/1999/xhtml">

One of the important problems in finite groups theory is group characterization by specific property. Properties, such as element orders, set of elements with the same order, the largest element order, etc. In this paper, we prove that the simple groups 2<italic>D</italic>8((2<italic>n</italic>)2)where, 28<italic>n</italic>+ 1 is a prime number are uniquely determined by its order and the largest elements order.
</abstract>

One of the important problems in finite groups theory is group characterization by specific property. Properties, such as element orders, set of elements with the same order, the largest element order, etc. In this paper, we prove that the simple groups 2D8((2n)2)where, 28n+ 1 is a prime number are uniquely determined by its order and the largest elements order.

Recognition of the Simple Groups 2D8((2n)2)

Annals of West University of Timisoara - Mathematics and Computer Science

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

One of the important problems in finite groups theory is group characterization by specific property. Properties, such as element orders, set of elements with...

Recognition of the Simple Groups ²D₈((2ⁿ)²)

Published Online: Dec 21, 2020

Page range: 53 - 60

DOI: https://doi.org/10.2478/awutm-2019-0014

Keywords
elements order, largest element order, prime graph

© 2019 Behnam Ebrahimzadeh, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Recognition of the Simple Groups 2D8((2n)2)

Published Online: Dec 21, 2020

Page range: 53 - 60

DOI: https://doi.org/10.2478/awutm-2019-0014

Keywordselements order, largest element order, prime graph

© 2019 Behnam Ebrahimzadeh, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Recognition of the Simple Groups ²D₈((2ⁿ)²)

Keywords
elements order, largest element order, prime graph