MS (Master of Science)
Date of Award
Committee Chair or Co-Chairs
Debra J. Knisley, Jeff R. Knisley
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.
Thesis - Open Access
Belcher, Donald Dewayne, "Radical p-chains in L3(2)." (2001). Electronic Theses and Dissertations. Paper 133. http://dc.etsu.edu/etd/133
Copyright by the authors.