Authors |
John N. Bray and Robert A. Wilson. |
Title |
Examples of 3-dimensional 1-cohomology for absolutely irreducible
modules of finite simple groups. |
Published as |
Submitted to J. Group Theory. |
Availability |
DVI-format or PDF-format. |
Abstract |
It is known that for finite simple groups it is possible for
a faithful absolutely irreducible module to have 1-cohomology of
dimension at least 3. However, until now no explicit examples
have been found. We present two explicit examples where the
dimension is exactly 3. It remains an open question as to
whether the dimension can be bigger than 3.
|
Author |
John N. Bray. |
Title |
A new family of modules with 2-dimensional 1-cohomology. |
Published as |
Submitted to J. Group Theory. |
Availability |
DVI-format or PDF-format. |
Abstract |
It is known that for finite simple groups it is possible for
a faithful absolutely irreducible module to have 1-cohomology of
dimension at least 3. However, even faithful absolutely irreducible modules with
2-dimensional 1-cohomology are rare.
We exhibit a new infinite family of such modules.
|