The Classification of the Virtually Cyclic Subgroups of the Sphere Braid Groups by Daciberg Lima Gonçalves & John Guaschi

Author:Daciberg Lima Gonçalves & John Guaschi
Language: eng
Format: epub
Publisher: Springer International Publishing, Cham

We now seek necessary conditions for the group to have least period either or . Let be the least period of . Then is the least integer for which , and if then . So there exists such that . Let be the least integer for which . If is periodic, its period is necessarily a multiple of . In particular, if the least period of is equal to either or then if , and if .

Remark 43

The additive structure of the cohomology of the virtually cyclic groups of Type I with integer coefficients was computed in detail in [25] for the cases where is one of the groups of the form or . This corresponds to the first two families of the classification of the finite periodic groups given by the Suzuki-Zassenhaus Theorem [10, Theorem 6.15].

Download

Copyright Disclaimer:
This site does not store any files on its server. We only index and link to content provided by other sites. Please contact the content providers to delete copyright contents if any and email us, we'll remove relevant links or contents immediately.