**by Joseph A. Gallian**

**Award:** Allendoerfer

**Year of Award:**1977

**Publication Information:***Mathematics Magazine*, Vol 49, (1976), pp. 163-180

**Summary:**The eighty year quest for the building blocks of group theory reflects sporadic growth spurts whenever new basic techniques were discovered.

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**About the author:**(from *Mathematics Magazine*, Vol. 49 (1976)) **Joseph A. Gallian** holds a Ph.D. from Notre Dame and now teaches at the University of Minnesota at Duluth. His investigation of the range problem for simple groups began in 1972 when he selected as a problem suitable for investigation by an undergraduate research team the question of determining which integers between 1 and 500 could be orders of simple groups. An extensive literature search together with personal conversations, especially with participants of the Park City Conference on Finite Groups in 1975, provided sufficient information to complete the history of the range problem through order 1,000,000. Professor Gallian's interest in bringing group theory to a college audience has also produced "Computers in Group Theory" and "Group Theory and the Design of a Letter Facing Machine".

**Subject classification(s)**: Algebra and Number Theory | Abstract Algebra | Groups

Publication Date:

Thursday, January 1, 1976