All exceptional groups of lie type have minimal logarithmic signatures

2014 ◽  
Vol 25 (4) ◽  
pp. 287-296 ◽  
Author(s):  
Haibo Hong ◽  
Licheng Wang ◽  
Yixian Yang ◽  
Haseeb Ahmad
Keyword(s):  
Logarithmic Signatures ◽  
Exceptional Groups ◽  
Groups Of Lie Type

scholarly journals Finite simple exceptional groups of Lie type in which all subgroups of odd index are pronormal

2020 ◽  
Vol 23 (6) ◽  
pp. 999-1016
Author(s):  
Anatoly S. Kondrat’ev ◽  
Natalia V. Maslova ◽  
Danila O. Revin
Keyword(s):  
Simple Groups ◽  
Finite Simple Groups ◽  
Exceptional Groups ◽  
Odd Index ◽  
Groups Of Lie Type

AbstractA subgroup H of a group G is said to be pronormal in G if H and {H^{g}} are conjugate in {\langle H,H^{g}\rangle} for every {g\in G}. In this paper, we determine the finite simple groups of type {E_{6}(q)} and {{}^{2}E_{6}(q)} in which all the subgroups of odd index are pronormal. Thus, we complete a classification of finite simple exceptional groups of Lie type in which all the subgroups of odd index are pronormal.

scholarly journals Recognition of finite exceptional groups of Lie type

2015 ◽  
Vol 368 (9) ◽  
pp. 6189-6226 ◽  
Author(s):  
Martin W. Liebeck ◽  
E. A. O’Brien
Keyword(s):  
Exceptional Groups ◽  
Groups Of Lie Type

scholarly journals On Thompson’s Conjecture for Finite Simple Exceptional Groups of Lie Type

2020 ◽  
Vol 247 (4) ◽  
pp. 565-570
Author(s):  
I. B. Gorshkov ◽  
I. B. Kaygorodov ◽  
A. V. Kukharev ◽  
A. A. Shlepkin
Keyword(s):  
Exceptional Groups ◽  
Thompson’S Conjecture ◽  
Groups Of Lie Type

scholarly journals The factorizations of the finite exceptional groups of lie type

1987 ◽  
Vol 106 (2) ◽  
pp. 517-527 ◽  
Author(s):  
Christoph Hering ◽  
Martin W Liebeck ◽  
Jan Saxl
Keyword(s):  
Exceptional Groups ◽  
Groups Of Lie Type

scholarly journals Sporadic Simple Subgroups of Finite Exceptional Groups of Lie Type

1993 ◽  
Vol 157 (2) ◽  
pp. 316-330 ◽  
Author(s):  
P.B. Kleidman ◽  
R.A. Wilson
Keyword(s):  
Exceptional Groups ◽  
Groups Of Lie Type
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