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1. The structure of the unit group of the group algebra $\mathbb {F}_{2^k}A_4$

Creator:
Gildea, Joe
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
group ring, group algebra, dihedral group, and cyclic group
Language:
English
Description:
The structure of the unit group of the group algebra of the group $A_4$ over any finite field of characteristic 2 is established in terms of split extensions of cyclic groups.
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public

2. Torsion units for some almost simple groups

Creator:
Gildea, Joe
Format:
print, bez média, and svazek
Type:
model:article and TEXT
Subject:
matematika, integrály, mathematics, integrals, Zassenhaus conjecture, torsion unit, partial augmentation, integral group ring, 13, and 51
Language:
English
Description:
We investigate the Zassenhaus conjecture regarding rational conjugacy of torsion units in integral group rings for certain automorphism groups of simple groups. Recently, many new restrictions on partial augmentations for torsion units of integral group rings have improved the effectiveness of the Luther-Passi method for verifying the Zassenhaus conjecture for certain groups. We prove that the Zassenhaus conjecture is true for the automorphism group of the simple group PSL(2, 11). Additionally we prove that the Prime graph question is true for the automorphism group of the simple group PSL(2, 13)., Joe Gildea., and Obsahuje seznam literatury
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public

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