## Illinois Journal of Mathematics

### On the structure of the group of autoprojectivities of a locally finite modular $p$-group of finite exponent

#### Abstract

In the description of the group of lattice automorphisms of modular groups, certain locally finite modular $p$-groups of finite exponent play a basic role. In the present paper significant structural properties of the group of autoprojectivities of such groups are investigated and placed in evidence.

#### Article information

Source
Illinois J. Math., Volume 47, Number 1-2 (2003), 113-128.

Dates
First available in Project Euclid: 17 November 2009

https://projecteuclid.org/euclid.ijm/1258488142

Digital Object Identifier
doi:10.1215/ijm/1258488142

Mathematical Reviews number (MathSciNet)
MR2031310

Zentralblatt MATH identifier
1035.20021

#### Citation

Costantini, M.; Zacher, G. On the structure of the group of autoprojectivities of a locally finite modular $p$-group of finite exponent. Illinois J. Math. 47 (2003), no. 1-2, 113--128. doi:10.1215/ijm/1258488142. https://projecteuclid.org/euclid.ijm/1258488142