AbstractWe characterize the set of positive integers m having the property that every group of order m is nilpotent of class at most c, where c is a fixed positive integer or infinity. This generalizes and relates results of Dickson and Pazderski. The special case where c=1 (all groups of order m are abelian) is used to construct a substantial class of finite Schreier systems S in free groups such that S is not a right transversal for any normal subgroup
Let G be a finite group, with a finite operator group A, satisfying the following conditions: (1) (|G...
Let G be a finite group, with a finite operator group A, satisfying the following conditions: (1) (|G...
Abstract. Let n> 0 be an integer and X be a class of groups. We say that a group G satisfies the ...
AbstractWe characterize the set of positive integers m having the property that every group of order...
If G is a finitely generated powerful pro-p group satisfying a certain law v == 1, and if G can be g...
If G is a finitely generated powerful pro-p group satisfying a certain law v == 1, and if G can be g...
AbstractWe investigate the structure of groups satisfying apositive law, that is, an identity of the...
A class of words is introduced with the property that a finite group satisfying an identity of lengt...
Let n be a positive integer or infinity (denote ∞). We denote by W ∗ (n) the class of groups G such ...
If k is a positive integer, a group G is said to have the $FE_{k}$-property if for each element g o...
If k is a positive integer, a group G is said to have the $FE_{k}$-property if for each element g o...
If k is a positive integer, a group G is said to have the $FE_{k}$-property if for each element g o...
Let G be a finite group, with a finite operator group A, satisfying the following conditions: (1) (|G...
Let G be a finite group, with a finite operator group A, satisfying the following conditions: (1) (|G...
Let G be a finite group, with a finite operator group A, satisfying the following conditions: (1) (|G...
Let G be a finite group, with a finite operator group A, satisfying the following conditions: (1) (|G...
Let G be a finite group, with a finite operator group A, satisfying the following conditions: (1) (|G...
Abstract. Let n> 0 be an integer and X be a class of groups. We say that a group G satisfies the ...
AbstractWe characterize the set of positive integers m having the property that every group of order...
If G is a finitely generated powerful pro-p group satisfying a certain law v == 1, and if G can be g...
If G is a finitely generated powerful pro-p group satisfying a certain law v == 1, and if G can be g...
AbstractWe investigate the structure of groups satisfying apositive law, that is, an identity of the...
A class of words is introduced with the property that a finite group satisfying an identity of lengt...
Let n be a positive integer or infinity (denote ∞). We denote by W ∗ (n) the class of groups G such ...
If k is a positive integer, a group G is said to have the $FE_{k}$-property if for each element g o...
If k is a positive integer, a group G is said to have the $FE_{k}$-property if for each element g o...
If k is a positive integer, a group G is said to have the $FE_{k}$-property if for each element g o...
Let G be a finite group, with a finite operator group A, satisfying the following conditions: (1) (|G...
Let G be a finite group, with a finite operator group A, satisfying the following conditions: (1) (|G...
Let G be a finite group, with a finite operator group A, satisfying the following conditions: (1) (|G...
Let G be a finite group, with a finite operator group A, satisfying the following conditions: (1) (|G...
Let G be a finite group, with a finite operator group A, satisfying the following conditions: (1) (|G...
Abstract. Let n> 0 be an integer and X be a class of groups. We say that a group G satisfies the ...
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