Results 11 to 20 of about 10,399,233 (265)
Monstrous Moonshine for Integral Group Rings [PDF]
International Mathematics Research Notices, 2023 Abstract We propose a conjecture that is a substantial generalization of the genus zero assertions in both Monstrous Moonshine and Modular Moonshine. Our conjecture essentially asserts that if we are given any homomorphism to the complex numbers from a representation ring of a group ring for a subgroup of the Monster, we obtain a ...
Carnahan, Scott, Urano, Satoru
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Nilpotent decomposition in integral group rings [PDF]
Journal of Algebra, 2021 Postprint version. In the second paragraph of Section 6, the statement "U(G)/pU(G) is a torsion group" is corrected by "U(G)/pU(G) is generated by torsion images of unipotents." Some minor typos are ...
Eric Jespers, Wei-Liang Sun
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Integral group ring of the first Mathieu simple group [PDF]
, 2007 We investigate the classical Zassenhaus conjecture for the normalized unit group of the integral group ring of the simple Mathieu group M11.
Bódi, Viktor +5 more
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On the Structure of Integral Group Rings of Sporadic Groups [PDF]
LMS Journal of Computation and Mathematics, 2000 AbstractThe object of this article is to examine a conjecture of Zassenhaus and certain variations of it for integral group rings of sporadic groups. We prove the ℚ-variation and the Sylow variation for all sporadic groups and their automorphism groups.
Frauke M. Bleher, Wolfgang Kimmerle
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, 1970 The theory of near-rings has arisen in a variety of ways. There is a natural desire to generalise the theory of rings and skew fields by relaxing some of their defining axioms.
Holcombe, William Michael Lloyd
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Central units of integral group rings [PDF]
Proceedings of the American Mathematical Society, 2014 We give an explicit description for a basis of a subgroup of finite index in the group of central units of the integral group ring $\Z G$ of a finite abelian-by-supersolvable group such that every cyclic subgroup of order not a divisor of 4 or 6 is subnormal in $G$. The basis elements turn out to be a natural product of conjugates of Bass units.
Jespers, Eric +3 more
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Torsion units in integral group ring of the Mathieu simple group M22 [PDF]
, 2008 We investigate the possible character values of torsion units of the normalized unit group of the integral group ring of the Mathieu sporadic group M22.
Bódi, Viktor +6 more
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Unit groups of integral group rings [PDF]
Proceedings of the American Mathematical Society, 1994 Let U ( Z G )
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Zassenhaus conjecture for central extensions of S5 [PDF]
, 2008 We confirm a conjecture of Zassenhaus about rational conjugacy of torsion units in integral group rings for a covering group of the symmetric group S5 and for the general linear group GLð2; 5Þ. The first result, together with others from the literature,
Bódi, Viktor +4 more
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Multiplication in Grothendieck rings of integral group rings [PDF]
Bulletin of the American Mathematical Society, 1967 Made available in DSpace on 2014-12-09T22:17:33Z (GMT). No. of bitstreams: 1 6612431.pdf: 2028922 bytes, checksum: 195226a98ae570af26c664bab83e5930 (MD5) Previous issue date: 1966 ; Embargo set by: Seth Robbins for item 61739 Lift date: Forever Reason: Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs ; Restricted to ...
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