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Almost regular involutory automorphisms of uniquely $ 2$-divisible groups


Author: Yoav Segev
Journal: Proc. Amer. Math. Soc. 139 (2011), 3445-3450
MSC (2010): Primary 20E36
DOI: https://doi.org/10.1090/S0002-9939-2011-10809-8
Published electronically: March 4, 2011
MathSciNet review: 2813376
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Abstract: We prove that a uniquely $ 2$-divisible group that admits an almost regular involutory automorphism is solvable.


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Additional Information

Yoav Segev
Affiliation: Department of Mathematics, Ben-Gurion University, Beer-Sheva 84105, Israel
Email: yoavs@math.bgu.ac.il

DOI: https://doi.org/10.1090/S0002-9939-2011-10809-8
Keywords: Almost regular involutory automorphism, uniquely $2$-divisible group.
Received by editor(s): September 1, 2010
Published electronically: March 4, 2011
Communicated by: Jonathan I. Hall
Article copyright: © Copyright 2011 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.

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