Results 11 to 20 of about 8,502,672 (103)
Intersection configurations in free and free times free-abelian groups [PDF]
, 2023 In this paper we study intersection configurations -- which describe the behaviour of multiple (finite) intersections of subgroups with respect to finite generability -- in the realm of free and free times free-abelian (FTFA) groups.
Roy, Mallika +4 more
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Groups with context-free co-word problem [PDF]
, 2005 The class of co-context-free groups is studied. A co-context-free group is defined as one whose coword problem (the complement of its word problem) is context-free.
Derek F. Holt +7 more
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Constructions of large translation nets with nonabelian translation groups [PDF]
, 2008 In this paper the first infinite series of translation nets with nonabelian translation groups and a large number of parallel classes are constructed. For that purpose we investigate partial congruence partitions (PCPs) with at least one normal component.
Hachenberger, Dirk
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Finiteness properties of profinite groups [PDF]
, 2010 PhDBroadly speaking, a finiteness property of groups is any generalisation of the property of having finite order. A large part of infinite group theory is concerned with finiteness properties and the relationships between them. Profinite groups are an
Reid, Colin David
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Finite p-groups with many minimal nonabelian subgroups [PDF]
, 2012 In Theorem 2.1 we characterize finite p-groups G such that each nonabelian subgroup H of G which possesses an abelian maximal subgroup is minimal nonabelian. In Theorem 3.1 the problem 2331 of Y. Berkovich (stated in Y. Berkovich and Z.
Janko, Zvonimir
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The exponents of nonabelian tensor products of groups [PDF]
, 2008 We prove that the exponent of the nonabelian tensor product of two locally finite groups can be bounded in terms of exponents of given groups. Several estimates for the exponents of nonabelian tensor squares are obtained. In particular, if the group G is
Moravec, Primož
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Relative commutativity degree of nonabelian metabelian groups of order 32 [PDF]
, 2021 A metabelian group is a group whose commutator subgroup is abelian. Similarly, a group G is metabelian if and only if there exists an abelian normal subgroup, A, such that the quotient group, G / A , is abelian.
Zakariah, N. A., Mohd. Ali, N. M.
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The probability of generating finite and profinite groups
Journal of the London Mathematical Society, Volume 114, Issue 3, September 2026.Abstract Famously, every finite simple group G$G$ can be generated by a pair of elements. Moreover, Liebeck and Shalev (1995) proved that the probability that a pair of elements generate G$G$ tends to 1 as |G|→∞$|G| \rightarrow \infty$. In this paper, we generalize this theorem of Liebeck and Shalev. Work of Lucchini and Menegazzo (1997) implies that a
Scott Harper, Martyn Quick
wiley +1 more source
Equidistribution in 2‐nilpotent Polish groups and triple restricted sumsets
Journal of the London Mathematical Society, Volume 114, Issue 3, September 2026.Abstract The aim of this paper is to establish a Ratner‐type equidistribution theorem for orbits on homogeneous spaces associated with 2$\hskip.001pt 2$‐nilpotent locally compact Polish groups under the action of a countable discrete abelian group.
Ethan Ackelsberg, Asgar Jamneshan
wiley +1 more source
PRODUCTS OF FREE GROUPS IN LIE GROUPS
, 2020 For every Lie group G, we compute the maximal n such that an n-fold product of nonabelian free groups embeds into ...
Campagnolo, Caterina, Kammeyer, Holger
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