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Title:Chain Conditions for Subgroups of Infinite Order or Index
Author(s):Paek, Dae Hyun
Doctoral Committee Chair(s):Derek J.S.Robinson
Department / Program:Mathematics
Discipline:Mathematics
Degree Granting Institution:University of Illinois at Urbana-Champaign
Degree:Ph.D.
Genre:Dissertation
Subject(s):Mathematics
Abstract:Groups with max-infinityi or min-infinityi for i=empty,s,n are the subject of this dissertation. Abelian, nilpotent, and solvable groups with max-infinity or min-infinity are examined in detail and structure theorems are given in each case. We then characterize the groups with max-infinity or min-infinity in the smallest class of groups containing all linear groups which is locally closed and closed with respect to the formation of ascending series with factors in the class. In addition, we discuss characterizations of solvable groups and subsolvable groups with max-infinitys or min-infinitys. Investigations of locally nilpotent and metanilpotent groups with max-infinityn or min-infinity n are included as final topics.
Issue Date:1999
Type:Text
Language:English
Description:80 p.
Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1999.
URI:http://hdl.handle.net/2142/86979
Other Identifier(s):(MiAaPQ)AAI9944958
Date Available in IDEALS:2015-09-28
Date Deposited:1999


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