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Details for article 22 of 26 found articles
| Title: |
The Groups of Symmetric Genus σ ≤ 8 |
| Author: |
May, Coy L. Zimmerman, Jay |
| Appeared in: |
Communications in algebra |
| Paging: | Volume 36 (2008) nr. 11 pages 4078-4095 |
| Year: |
2008-11 |
| Contents: |
Let G be a finite group. The symmetric genus σ (G) is the minimum genus of any compact Riemann surface on which G acts faithfully as a group of automorphisms. Here we classify the groups of symmetric genus σ, for all values of σ such that 4 ≤ σ ≤ 8. In addition, we obtain some general results about the partial presentations that groups acting on surfaces must have. We show that a group with even genus and no “large order” elements in its Sylow 2-subgroup has restrictions on its Sylow 2-subgroup. As a consequence, we show that if G is a 2-group with positive symmetric genus, then σ(G) is odd. The software package MAGMA was employed to help with the calculations, and the MAGMA library of small groups was essential to the classification. |
| Publisher: |
Taylor & Francis |
| Source file: |
Elektronische Wetenschappelijke Tijdschriften |
Details for article 22 of 26 found articles
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