Question regarding PGL groups

Thread View: sci.math.research

1 messages

[T] Back to Threads [V] Tree View [G] Group Articles

1 total messages Started by Andrea A. Pietracaprina Mon, 11 Jan 1993 15:05

#179

Author: Andrea A. Pietracaprina
Date: Mon, 11 Jan 1993 15:05

19 lines
1314 bytes

Hello,
does anyone know a solution to the following problem?

Let PGL(2,k) be the Projective General Linear group of 2 X 2 matrices
with entries from the finite field with k elements, where k is a
prime power. Let q be an even prime power and n and integer > 2. Consider
the quotient

                  PGL(2,q^n) / PGL(2,q)

As known, it consists of [(q^n+1) q^n (q^n-1)] / [(q+1) q (q-1)] elements,
i.e., cosets of PGL(2,q). Is there an ordering of these cosets such that
given an index i it is easy to determine the i-th coset? By easy I mean
requiring *a few* operations in the field.

I would greately appreciate suggestions and/or pointers to the literature.
Thanks in advance.

andrea pietracaprina

Thread Navigation

This is a paginated view of messages in the thread with full content displayed inline.

Messages are displayed in chronological order, with the original post highlighted in green.

Use pagination controls to navigate through all messages in large threads.

Back to All Threads