scholarly journals Character tables and defect groups

2020 ◽  
Vol 562 ◽  
pp. 323-340
Author(s):  
Benjamin Sambale
1979 ◽  
Vol 61 (1) ◽  
pp. 152-160 ◽  
Author(s):  
David Chillag ◽  
Marcel Herzog

1984 ◽  
Vol 87 (1) ◽  
pp. 222-246 ◽  
Author(s):  
David Gluck ◽  
Thomas R Wolf

2010 ◽  
Vol 178 (1) ◽  
pp. 325-348 ◽  
Author(s):  
Stephen P. Humphries ◽  
Brent L. Kerby ◽  
Kenneth W. Johnson

2003 ◽  
Vol 02 (03) ◽  
pp. 277-315
Author(s):  
GERHARD O. MICHLER ◽  
MICHAEL WELLER ◽  
KATSUSHI WAKI

In this article we give a self-contained existence proof for Lyons' sporadic simple group G by application of the first author's algorithm [18] to the given centralizer H ≅ 2A11 of a 2-central involution of G. It also yields four matrix generators of G inside GL 111 (5) which are given in Appendix A. From the subgroup U ≅ (3 × 2A8) : 2 of H ≅ 2A11, we construct a subgroup E of G which is isomorphic to the 3-fold cover 3McL: 2 of the automorphism group of the McLaughlin group McL. Furthermore, the character tables of E ≅ 3McL : 2 and G are determined and representatives of their conjugacy classes are given as short words in their generating matrices.


ZooKeys ◽  
2020 ◽  
Vol 961 ◽  
pp. 1-30
Author(s):  
Odalisca Breedy ◽  
Hector M. Guzman

The species of the genus Psammogorgia Verrill, 1868 from the shallow waters of the tropical eastern Pacific were mainly described from 1846 to 1870. Very few contributions were published subsequently. Recently, the genus was revisited with the addition of two new species. However, a comprehensive generic study is still missing for the eastern Pacific. Psammogorgia is characterised by having axes cores without mineralisation, mainly coarse irregular spindles and thorny, leafy or tuberculate clubs coenenchymal sclerites and the anthocodial armature with distinct collaret and points arrangements. Herein a taxonomic revision of the genus is presented based on type material which was morphologically analysed and illustrated using optical and scanning electron microscopy. Comparative character tables are provided for comparison among species in the genus, along with a taxonomic key. Moreover, the taxonomic status of each species was analysed. The genus Psammogorgia comprises six valid species and two varieties, and three lectotypes and a new combination are proposed to establish the taxonomic status of these species.


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