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Palindromic width of wreath products, metabelian groups, and max-n solvable groups
wreath products metabelian groups
2015/8/26
A group has finite palindromic width if there exists n such that every element can be expressed as a product of n or fewer palindromic words. We show that if G has finite palindromic width with respec...
Random walks on finite rank solvable groups
random walk heat kernel decay asymptotic invariants of infinite groups Prüfer rank – solvable group
2015/8/26
We establish the lower bound p2t (e, e) exp(−t1/3), for the large times asymptotic
behaviours of the probabilities p2t (e, e) of return to the origin at even times 2t, for
random walks assoc...
A new subgroup lattice characterization of finite solvable groups
subgroup lattice characterization solvable groups
2010/11/18
We show that if G is a finite group then no chain of modular elements in its subgroup lattice L(G) is longer than a chief series. Also, we show that if G is a nonsolvable finite group then every maxi...
We prove that a finitely generated solvable group which is not virtually nilpotent has exponential conjugacy growth.