An example ofp-groups with identical character tables and different derived lengths

1994 ◽  
Vol 62 (1) ◽  
pp. 12-20 ◽  
Author(s):  
Sandro Mattarei
Keyword(s):  
Character Tables ◽  
Identical Character

Pairs of non-isomorphic monomial groups with identical character tables

1995 ◽  
Vol 65 (2) ◽  
pp. 107-110
Author(s):  
Michael Weller
Keyword(s):  
Character Tables ◽  
Identical Character

Fusions of character tables III: Fusions of cyclic groups and a generalisation of a condition of Camina

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

Finite groups with two rows which differ in only one entry in character tables

2021 ◽  
pp. 1-8
Author(s):  
Wenyang Wang ◽  
Ni Du
Keyword(s):  
Finite Groups ◽  
Character Tables

NATURAL EXISTENCE PROOF FOR LYONS SIMPLE GROUP

2003 ◽  
Vol 02 (03) ◽  
pp. 277-315
Author(s):  
GERHARD O. MICHLER ◽  
MICHAEL WELLER ◽  
KATSUSHI WAKI
Keyword(s):  
Automorphism Group ◽  
Simple Group ◽  
Conjugacy Classes ◽  
Existence Proof ◽  
Sporadic Simple Group ◽  
Character Tables ◽  
The Given ◽  
Fold Cover

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.

scholarly journals A revision of the genus Psammogorgia Verrill, 1868 (Cnidaria, Anthozoa, Octocorallia) in the tropical eastern Pacific Ocean

ZooKeys ◽  
2020 ◽  
Vol 961 ◽  
pp. 1-30
Author(s):  
Odalisca Breedy ◽  
Hector M. Guzman
Keyword(s):  
Taxonomic Status ◽  
Taxonomic Revision ◽  
Eastern Pacific ◽  
New Combination ◽  
Valid Species ◽  
Shallow Waters ◽  
Eastern Pacific Ocean ◽  
Tropical Eastern Pacific ◽  
Character Tables ◽  
Two New Species

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.

Computing with groups and their character tables

1982 ◽  
Vol 114 (1-3) ◽  
pp. 493-506 ◽  
Author(s):  
Joachim Neubüser
Keyword(s):  
Character Tables
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