Radical <em>p</em>-chains in L₃(2).

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

Name thesis:degree_name

MS (Master of Science)

Level thesis:degree_level

Thesis - unrestricted

Discipline thesis:degree_discipline

Mathematical Sciences

Year dc:date.issued

2001

Author dc:creator

• Belcher, Donald Dewayne

• radical p-subgroups
• group theory
• mckay-alperin-dade conjecture
• radical p-chains
• Physical Sciences and Mathematics

Statement dc:rights

• Copyright by the authors.

Repository record dc:identifier

https://dc.etsu.edu/etd/133

OAI identifier oai:identifier

oai:dc.etsu.edu:etd-1183