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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
On the structure of the Solomon-Tits algebra of the symmetric group. An analysis of associative, group theoretic and Lie theoretical phenomenons: With

On the structure of the Solomon-Tits algebra of the symmetric group. An analysis of associative, group theoretic and Lie theoretical phenomenons: With

Wirsing, Sven Bodo

Paperback

General Mathematics

ISBN10: 3959355947
ISBN13: 9783959355940
Publisher: Disserta Verlag
Published: May 24 2022
Pages: 204
Weight: 0.80
Height: 0.43 Width: 7.00 Depth: 10.00
Language: German
Within this work we study the structure of the Solomon-Tits algebra of the symmetric group motivated by results of research done by Manfred Schocker about the module structure of this algebra. We investigate three structures: the associative, the associated Lie algebra and the group of units. All three structures are related and can be studied in the more general context of associative soluble splittable algebras possessing a self-centralizing radical complement. Our results are related to dimension formulas, Duo algebras, self-centralization of the radical complements, Cartan subalgebras, Sylow subgroups, Hall subgroups, Carter subgroups, stagnation of central chains, classes of nilpotency and solvability, exponents alongside central chains, nilradical and Fitting subgroup, semisimple and simple substructures, anti-automoprhism and irreducible character values.

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