Almost regular involutory automorphisms of uniquely -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 | References | Similar Articles | Additional Information

Abstract: We prove that a uniquely -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.