ZASSENHAUS CONJECTURE FOR INTEGRAL GROUP RING OF SIMPLE LINEAR GROUPS

DOI10.1142/S0219498813500163zbMath1280.16035arXiv1512.00330WikidataQ123133937 ScholiaQ123133937MaRDI QIDQ4928323

Joe Gildea

Publication date: 11 June 2013

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.00330

zbMATH Keywords

finite simple groupsintegral group ringsprojective special linear groupsKimmerle conjecturepartial augmentationstorsion unitsZassenhaus conjecture

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Group rings (16S34) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Units, groups of units (associative rings and algebras) (16U60)

Related Items (9)

Torsion units for a Ree group, Tits group and a Steinberg triality group. ⋮ Rational Conjugacy of Torsion Units in Integral Group Rings of Non-Solvable Groups ⋮ On the Gruenberg–Kegel graph of integral group rings of finite groups ⋮ On the prime graph question for integral group rings of 4-primary groups. II. ⋮ A counterexample to the first Zassenhaus conjecture ⋮ Torsion units for some almost simple groups ⋮ Torsion units for some projected special linear groups ⋮ Torsion units in the integral group ring of PSL(3, 4) ⋮ From examples to methods: Two cases from the study of units in integral group rings

Cites Work

• Zassenhaus conjecture for \(A_6\).
• Integral group ring of the Mathieu simple group \(M_{12}\).
• Torsion units in integral group rings of some metabelian groups. II
• Rigidity of \(p\)-adic \(p\)-torsion
• Zassenhaus conjecture for \(A_5\)
• TORSION UNITS IN INTEGRAL GROUP RINGS OF CONWAY SIMPLE GROUPS
• Torsion units in integral group rings of Janko simple groups
• Torsion Units in Integral Group Ring of the Mathieu Simple GroupM₂₂
• Zassenhaus conjecture for S₅
• Finite groups of units and their composition factors in the integral group rings of the groups PSL(2, q)
• Integral Group Ring of the Mathieu Simple GroupM₂₃
• On the Torsion Units of Some Integral Group Rings
• On the Structure of Group Algebras, I
• INTEGRAL GROUP RING OF THE MATHIEU SIMPLE GROUP M₂₄
• Torsion Units in the Integral Group Ring of the Alternating Group of Degree 6
• Zassenhaus conjecture for central extensions of S 5
• Isomorphisms of p-adic group rings

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