Physical Sciences and Mathematics Commons^™

Groups Expressed As The Set-Theoretic Union Of Proper Subgroups, Lana Barrett

Masters Theses & Specialist Projects

In their paper “Groups as Unions of Proper Subgroups,” published in 1959, Haber and Rosenfeld posed the problem of characterizing groups which can be expressed as the set theoretic union of a finite collection of their proper subgroups. Haber and Rosenfeld established that a group G is the union of three proper subgroups (such a group G shall be called a U₃-group) if and only if the Klein 4-group is a homomorphic image of G. Further results concerning U₃-groups were obtained in the paper “Groups which are the Union of Three Subgroups” by Bruckhemier, Bryan and …

Ua12/2/1 College Heights Herald, Vol. X, No. 18, Wku Student Affairs

WKU Archives Records

WKU campus newspaper reporting campus, athletic and Bowling Green, Kentucky news. Regular features include:

• Alumni News
• Chapel Calendar
• Class & Club
• Personals
• Society
• Trype

This issue contains articles:

• Hill Sponsors Local Vespers during Summer
• Astronomer Visits on Hill and Shows Novel Instruments – David Phillips
• Two in Glee Club Are Identified
• Article of Teacher Is Published – Margie Helm
• Hodge, Mary. Booklet Gives Details of Training School Work
• 823 Students Are Enrolled for This Term
• Board of Regents Convenes on Hill
• Article Appears – A.L. Crabb
• Bo McMillan Will Conduct School Here in August
• Nursery School Is Opened Here
• Geography …