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University of Illinois at Urbana-Champaign

Verification of the McKay-Alperin-Dade Conjecture for the covering groups of the Mathieu group M(22)

Abstract

dc:description

The McKay-Alperin-Dade Conjecture states that the number of complex irreducible characters with a given defect d in a p-block B of a finite group G can be expressed in terms of an alternating sum of the numbers of complex irreducible characters with related defects $d\sp\prime$ in related p-blocks $B\sp\prime$ of the normalizers $N\sb{G}(C)$ of representatives C of the G-conjugacy classes of radical p-chains of G. Specifically, we have the following.

Degree

thesis:*
Name thesis:degree_name
Ph.D.
Level thesis:degree_level
Dissertation
Discipline thesis:degree_discipline
Mathematics
Grantor
University of Illinois at Urbana-Champaign
Year dc:date
2011

Author and committee

dc:creator, dc:contributor.*
Author dc:creator
  • Huang, Margaret Janice Fernald
Contributors dc:contributor
  • Suzuki, Michio

Subjects

dc:subject × 1

Rights

dc:rights
Statement dc:rights
  • Copyright 1992 Huang, Margaret Janice Fernald
Language dc:language
eng

Identifiers

dc:identifier.*
Identifier
AAI9305561
(UMI)AAI9305561
OAI identifier oai:identifier
oai:www.ideals.illinois.edu:2142/19660

Chain of custody

source
Harvested from
University of Illinois - Urbana-Champaign
Base URL
www.ideals.illinois.edu/oai-pmh
Last updated
2026-07-22
Source record
OAI-PMH GetRecord
citation

Huang, Margaret Janice Fernald. Verification of the McKay-Alperin-Dade Conjecture for the covering groups of the Mathieu group M(22). Dissertation thesis, University of Illinois at Urbana-Champaign, 2011. http://hdl.handle.net/2142/19660