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Finite valuated groups

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Date Issued:
1996
Summary:
The concept of valuated groups, simply presented groups, and simultaneous decomposition of an abelian group and a subgroup are discussed. We classify the structure of finite valuated p-groups of order up p^4. With a refinement of a classical theorem on bounded pure subgroups, we also relate the decomposition of a finite valuated p-group to the simultaneous decomposition of a finite abelian p-group and a subgroup.
Title: Finite valuated groups.
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Name(s): Holroyd, Keiko Ito
Florida Atlantic University, Degree Grantor
Richman, Fred, Thesis Advisor
Type of Resource: text
Genre: Electronic Thesis Or Dissertation
Issuance: monographic
Date Issued: 1996
Publisher: Florida Atlantic University
Place of Publication: Boca Raton, Fla.
Physical Form: application/pdf
Extent: 76 p.
Language(s): English
Summary: The concept of valuated groups, simply presented groups, and simultaneous decomposition of an abelian group and a subgroup are discussed. We classify the structure of finite valuated p-groups of order up p^4. With a refinement of a classical theorem on bounded pure subgroups, we also relate the decomposition of a finite valuated p-group to the simultaneous decomposition of a finite abelian p-group and a subgroup.
Identifier: 15320 (digitool), FADT15320 (IID), fau:12090 (fedora)
Note(s): Thesis (M.S.)--Florida Atlantic University, 1996.
Subject(s): Finite groups
Abelian groups
Abelian p-groups
Algebra, Homological
Held by: Florida Atlantic University Libraries
Persistent Link to This Record: http://purl.flvc.org/fcla/dt/15320
Sublocation: Digital Library
Use and Reproduction: Copyright © is held by the author with permission granted to Florida Atlantic University to digitize, archive and distribute this item for non-profit research and educational purposes. Any reuse of this item in excess of fair use or other copyright exemptions requires permission of the copyright holder.
Use and Reproduction: http://rightsstatements.org/vocab/InC/1.0/
Host Institution: FAU
Is Part of Series: Florida Atlantic University Digital Library Collections.