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On Nonfree Actions of Commuting Involutions on Manifolds
AbstractA new lower bound is obtained relating the rational cup-length of the base and that of the total space of branched coverings of orientable...
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Involutions and Coninvolutions
AbstractA review of the relatively little-known matrix class, called coninvolutions, is given. The properties of these matrices are compared with...
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Groups in which all involutions are 3-transvections
Let G be a group which is generated by the set of its involutions, and assume that the set of integers which occur as orders of products of two...
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On Groups with Involutions Saturated by Finite Frobenius Groups
We study the mixed and periodic groups with involutions and finite elements which are saturated by finite Frobenius groups. We prove that a group
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Two Commuting Involutions Fixing RP1(2m + 1) ∪ RP2(2m + 1)
Let Z 2 denote a cyclic group of 2 order and Z
2 2 = Z 2 × Z 2 the direct product of groups. Suppose that ( M , Φ) is a closed and smooth manifold M with... -
On the Generation of the Groups \(\mathrm{SL}_n(\mathbb{Z}+i\mathbb{Z})\) and \(\mathrm{PSL}_n(\mathbb{Z}+i\mathbb{Z})\) by Three Involutions Two of Which Commute. II
AbstractWe complete the solution of the problem on the existence of generating triplets of involutions two of which commute for the special linear...
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Simple algebras and involutions
In this chapter, we examine further connections between quaternion algebras, simple algebras, and involutions.
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SYMMETRIC SPACES WITH DISSECTING INVOLUTIONS
An involutive diffeomorphism σ of a connected smooth manifold M is called dissecting if the complement of its fixed point set is not connected....