A characterization of subgroup containment in direct products |
| |
| Authors: | Ben Brewster Dandrielle Lewis |
| |
| Institution: | 1. Department of Mathematical Sciences, Binghamton University, Binghamton, NY, 13902-6000, USA
2. Department of Mathematics, University of Wisconsin-Eau Claire, 508 Hibbard Humanities Hall, Eau Claire, WI, 54702-4004, USA
|
| |
| Abstract: | Using Goursat??s characterization of subgroups in a direct product, a characterization of subgroup containment in such a direct product is given. Applying this along with facts about p-groups we describe a process for obtaining the subgroup lattice of a direct product of p-groups. This process is implemented to portray the subgroup lattice of Q × Q, where Q is the quaternion group of order 8. |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
|
