ERICH W. ELLERS

**Peter C. Austin**

Products of involutions in Chevalley groups

University of Toronto, February 1997

*Thesis title:*Products of involutions in the Chevalley groups of type $F$_{4}(K)

*Resulting publications:*

- A geometric proof of the bireflectionality of the Weyl group of type
$F$
_{4}(K).*J. Geometry***60**(1997) 1-6. - Products of involutions in the groups of Lie type
$F$
_{4}(K).*Comm. Algebra***27**(1999) no. 2, 557-575. - Products of involutions in the finite Chevalley groups of type $F$
_{4}(K). (with E.W.Ellers)*Comm. Algebra*

*Present position:*Associate Scientist at the Institute for Clinical Evaluative Sciences, North York, Ontario,

and Lecturer, Department of Public Health Sciences, Faculty of Medicine, University of Toronto- A geometric proof of the bireflectionality of the Weyl group of type
$F$
**Catherine Stanley-Albarda**

Factorization of matrices over rings

University of Toronto, February 1995

*Thesis title:*The decomposition of automorphisms of modules over rings

*Resulting publications:*

A comparison of length definitions for maps of modules over local rings.*J. Geometry***53**(1995) 191-200.

*Present position:*Lecturer, Acadia University, Wolfville, Nova Scotia**Br. L. Raphael Patton, FSC**

Characterizations of unitary groups

University of Toronto,Spring 1977

*Thesis title:*Characterizations by length in generators of unitary groups over a skewfield with characteristic not two

*Resulting publications:*

Zur Geschichte der Erzeugung von Bewegungsgruppen. (with E. W. Ellers)*Mitt. Math. Gesellschaft Hamburg***10**2 (1973) 109-223.

*Present position:*Professor, St.Mary's College of California**Georg Günther**

Characterization of orthogonal groups

University of Toronto 1974

*Thesis title:*A geometric characterization of finite-dimensional orthogonal groups for characteristic 2

*Resulting publications:*

- A geometric characterization of orthogonal groups for characteristic 2.
*Geometriae Dedicata***5**(1976), no. 3, 321-346. - Singular isometries in orthogonal groups.
*Canad. Math. Bull.***20**(1977), no. 2, 189-198. - Defining relations in orthogonal groups of characteristic two.(with W. Nolte)
*Canad. J. Math.***31**(1979), no. 6, 1217-1246.

*Present position:*Professor, Memorial University of Newfoundland, Corner Brook- A geometric characterization of orthogonal groups for characteristic 2.

Updated Jan 2006