Radical p-chains in L₃(2).

Author

Donald Dewayne Belcher, East Tennessee State University

Degree Name

MS (Master of Science)

Program

Mathematical Sciences

Date of Award

5-2001

Committee Chair or Co-Chairs

Janice Huang

Committee Members

Debra J. Knisley, Jeff R. Knisley

Abstract

The McKay-Alperin-Dade Conjecture, which has not been finally verified, predicts the number of complex irreducible characters in various p-blocks of a finite group G as an alternating sum of the numbers of characters in related p-blocks of certain subgroups of G. The sub-groups involved are the normalizers of representatives of conjugacy classes of radical p-chains of G. For this reason, it is of interest to study radical p-chains. In this thesis, we examine the group L₃(2) and determine representatives of the conjugacy classes of radical p-subgroups and radical p-chains for the primes p = 2, 3, and 7. We then determine the structure of the normalizers of these subgroups and chains.

Document Type

Thesis - unrestricted

Recommended Citation

Belcher, Donald Dewayne, "Radical p-chains in L₃(2)." (2001). Electronic Theses and Dissertations. Paper 133. https://dc.etsu.edu/etd/133

Copyright

Copyright by the authors.