## Hokkaido Mathematical Journal

### A class of Butler groups and their endomorphism rings

#### Abstract

We study a class of Butler groups of infinite rank, called Hawaiian groups.They are defined as subgroups of a rational vector space and contain parameters that provide for flexibility but are concrete enough to allow for the computation of certain crucial subgroups and quotient groups, to exhibit endomorphisms and describe the endomorphism rings. Most Hawaiian groups are finitely Butler; under stronger assumptions they are not finitely filtered and hence not $B_2$-groups.

#### Article information

Source
Hokkaido Math. J., Volume 37, Number 2 (2008), 399-425.

Dates
First available in Project Euclid: 21 September 2009

https://projecteuclid.org/euclid.hokmj/1253539562

Digital Object Identifier
doi:10.14492/hokmj/1253539562

Mathematical Reviews number (MathSciNet)
MR2415908

Zentralblatt MATH identifier
1148.20039

#### Citation

MADER, Adolf; STRÜNGMANN, Lutz. A class of Butler groups and their endomorphism rings. Hokkaido Math. J. 37 (2008), no. 2, 399--425. doi:10.14492/hokmj/1253539562. https://projecteuclid.org/euclid.hokmj/1253539562