On the Loewy structure of the projective indecomposable representations of some stabilizer subgroups of A(8) in characteristic 2

Author

• Peter Blake Hindman

Author Type

Graduate Student

Date of Award

1993

Document Type

Thesis

Publication Status

Version of Record

Submission Date

October 2026

Thesis/Dissertation Advisor [Chair]

Klingler, Lee

Abstract

Given a module over a ring for which the Jordan-Holder theorem is valid, the Loewy series is a filtration on the composition factors of the module yielding information on the structure in which they are arranged in the module. We derive subgroups of A8 by considering stabilizers of n-tuples derived from partitions of eight letters, and develop their representation theory over a field of characteristic 2, relying heavily on methods of passing information to groups from their subgroups, with special attention toward obtaining the Loewy structure of their projective indecomposable representations.

Extent

89 p.

Comments

Thesis (M.S.)--Florida Atlantic University, 1993.|Thesis (M.S.)--Florida Atlantic University, 1993.

Recommended Citation

Hindman, Peter Blake, "On the Loewy structure of the projective indecomposable representations of some stabilizer subgroups of A(8) in characteristic 2" (1993). Electronic Theses and Dissertations 1990 - 1999. 481.
https://digitalcommons.fau.edu/etd_general_4/481

Identifier

FADT14971

Format

pdf