Displaying 41 – 60 of 325

Showing per page

Perfectly supportable semigroups are σ-discrete in each Hausdorff shift-invariant topology

Taras Banakh, Igor Guran (2013)

Topological Algebra and its Applications

In this paper we introduce perfectly supportable semigroups and prove that they are σ-discrete in each Hausdorff shiftinvariant topology. The class of perfectly supportable semigroups includes each semigroup S such that FSym(X) ⊂ S ⊂ FRel(X) where FRel(X) is the semigroup of finitely supported relations on an infinite set X and FSym(X) is the group of finitely supported permutations of X.

Periodic subgroups of projective linear groups in positive characteristic

Alla Detinko, Dane Flannery (2008)

Open Mathematics

We classify the maximal irreducible periodic subgroups of PGL(q, 𝔽 ), where 𝔽 is a field of positive characteristic p transcendental over its prime subfield, q = p is prime, and 𝔽 × has an element of order q. That is, we construct a list of irreducible subgroups G of GL(q, 𝔽 ) containing the centre 𝔽 ×1q of GL(q, 𝔽 ), such that G/ 𝔽 ×1q is a maximal periodic subgroup of PGL(q, 𝔽 ), and if H is another group of this kind then H is GL(q, 𝔽 )-conjugate to a group in the list. We give criteria for determining...

Currently displaying 41 – 60 of 325