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Carter Subgroups and Carter's Theorem

Mohammed, Zakiyah
http://rave.ohiolink.edu/etdc/view?acc_num=ysu1310158687

Abstract Details

2011, Master of Science in Mathematics, Youngstown State University, Department of Mathematics and Statistics.
In 1961 Roger W. Carter proved a theorem about solvable groups similar to Sylow's theorem. He proved that if a group is solvable then it always contains a nilpotent, self-normalizing subgroup called a Carter subgroup, and that all such subgroups are conjugate to each other by an element of the group. The objective of this thesis is to present a proof of Carter's theorem.
Neil Flowers, PhD (Advisor)
Thomas Wakefield, PhD (Committee Member)
Eric Wingler, PhD (Committee Member)
45 p.
Mathematics
Carter Subgroups; Carter's theorem; Nilpotent Groups; Solvable groups

Recommended Citations

Citations

  • Mohammed, Z. (2011). Carter Subgroups and Carter's Theorem [Master's thesis, Youngstown State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=ysu1310158687

    APA Style (7th edition)

  • Mohammed, Zakiyah. Carter Subgroups and Carter's Theorem. 2011. Youngstown State University, Master's thesis. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=ysu1310158687.

    MLA Style (8th edition)

  • Mohammed, Zakiyah. "Carter Subgroups and Carter's Theorem." Master's thesis, Youngstown State University, 2011. http://rave.ohiolink.edu/etdc/view?acc_num=ysu1310158687

    Chicago Manual of Style (17th edition)

ysu1310158687
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© 2011, all rights reserved.
This open access ETD is published by Youngstown State University and OhioLINK.