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Showing 1 to 6 of 6 for “"LOWER CENTRAL SERIES"”.
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Unification and equation solving in nilpotent groups and monoids
… to the quotient of G by the (k-1) th term of the lower central series and lifting the solution up the factors formed from G by the terms of the lower central series. There are certain unification problems, however, where this does not work as it stands and special treatment is required involving …
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Spaces of homomorphisms and group cohomology
… of the given group. Namely, we use the lower central series of free groups to construct a family of simplicial subspaces of the bar construction of the classifying space of a group. The first layer of this filtration is studied in more detail for transitively commutative (TC) groups.
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Goodwillie Calculi
… Curtis's filtration of a simplicial group by the lower central series is ""pi 0"" of the filtration provided by Goodwillie calculus."
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The Macdonald group
… of the thesis, we determine the order, upper and lower central series, nilpotency class, and exponent of each of these Sylow subgroups. For the remaining two thirds of the thesis we concentrate on the Sylow 2-subgroup J = J(α) of G(α), so we assume that α = 1 + 2mℓ, where m ≥ 1 and ℓ is odd. We …
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Universality of Cutoff for Random Walks on Random Cayley Graphs
… G, we construct an Abelian group G' (from the lower central series of G) of the same size. We show that the mixing time for G is at least as fast (asymptotically) as that for G' whp. Wilson (1997) conjectured that, amongst all groups of size at most 2^d, the group Z_2^d gives rise to the …
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ΟΜΑΔΕΣ ΑΥΤΟΜΟΡΦΙΣΜΩΝ ΤΩΝ ΟΜΑΔΩΝ ΜΙΑΣ ΟΡΙΖΟΥΣΑΣ ΣΧΕΣΗΣ
AT THE SECOND CHAPTER THE DERIVED SUBGROUP OF GROUPS WITH ONE DEFINING RELATIONSTUDIED. AT THE THIRD CHAPTER THE GROUP OF AUTOMORPHISMS OF CERTAIN ONE RELATOR GROUPS STUDIED. AT THE IV CHAPTER THE RESIDUAL PROPERTIES STUDIED LIKE RESIDUALLY FINITENESS, RESIDUALLY NILPOTENCE ETC.