منابع مشابه
Nilpotency in Group Theory and Topology
© École normale supérieure – IREM Paris Nord – École centrale des arts et manufactures, 1976, tous droits réservés. L’accès aux archives de la série « Séminaire de philosophie et mathématiques » implique l’accord avec les conditions générales d’utilisation (http://www.numdam.org/legal.php). Toute utilisation commerciale ou impression systématique est constitutive d’une infraction pénale. Toute ...
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Last lecture, we learned about a combinatorial method for characterizing spaces: using simplicial complexes as triangulations of the spaces. We also showed how the connectivity of compact 2-manifolds is fully characterized by an invariant, the Euler characteristic, that may be computed using any triangulation of the space. In this lecture, we study group theory. This theory is part of the beaut...
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Let K be a field of positive characteristic p and KG the group algebra of a group G. It is known that if KG is Lie nilpotent then its upper (or lower) Lie nilpotency index is at most |G| + 1, where |G| is the order of the commutator subgroup. The class of groups G for which these indices are maximal or almost maximal have already been determined. Here we determine G for which upper (or lower) L...
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ژورنال
عنوان ژورنال: Publicacions Matemàtiques
سال: 1982
ISSN: 0214-1493
DOI: 10.5565/publmat_26382_05