On Bruck Loops of 2-power Exponent, II
Alexander Stein
TL;DR
This paper investigates the structure of Bruck loops of 2-power exponent, revealing that non-passive finite simple groups are among certain projective special linear groups with specific properties.
Contribution
It establishes a classification result linking non-passive finite simple groups to specific PSL_2(q) groups with q-1 being a 2-power.
Findings
Non-passive finite simple groups are among PSL_2(q) with q-1 a 2-power
Characterization of Bruck loops of 2-power exponent
Extension of previous results announced in arXiv:0908.2596
Abstract
As announced in [arXiv:0908.2596], we show that the non-passive finite simple groups are among the with a 2-power. [arXiv:0908.2596]: Baumeister,Stein,Stroth: On Bruck Loops of 2-power Exponent
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Taxonomy
TopicsMathematics and Applications · Advanced Differential Equations and Dynamical Systems · graph theory and CDMA systems