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Derek J.S.Robinson Paek, Dae Hyun 2015-09-28T15:20:27Z 2015-09-28T15:20:27Z 10000-01-01 1999 1999 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. Made available in DSpace on 2015-09-28T15:20:27Z (GMT). No. of bitstreams: 2 license.txt: 4848 bytes, checksum: 96035ab3f5e1c23cc7138a224ce498bd (MD5) 9944958.pdf: 2354622 bytes, checksum: 1a9d1127a6d8cdf14b1ce1f5724dd446 (MD5) Previous issue date: 1999 Embargo set by: Seth Robbins for item 88260 Lift date: Forever Reason: Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs U of I Only 80 p. Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1999. http://hdl.handle.net/2142/86979 (MiAaPQ)AAI9944958 eng Mathematics Chain Conditions for Subgroups of Infinite Order or Index text Mathematics Mathematics University of Illinois at Urbana-Champaign Dissertation Ph.D.