A class of identities in the Grassmann Cayley algebra was found by M. J. Hawrylycz (1994, ``Geometric Identities in Invariant Theory,'' Ph.D. thesis, Massachusetts Institute of Technology) which yields a large number of geometric theorems on the incidence of subspaces of projective spaces. In a prev
Epimorphisms between the Free Groups in a Variety of Groups
β Scribed by Martin J. Evans
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 160 KB
- Volume
- 220
- Category
- Article
- ISSN
- 0021-8693
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π SIMILAR VOLUMES
We classify the nilpotent finite groups G which are such that the unit group Ε½ . U U ZG of the integral group ring ZG has a subgroup of finite index which is the direct product of noncyclic free groups. It is also shown that nilpotent finite groups having this property can be characterised by means
We classify all the finite groups G, such that the group of units of ZG contains a subgroup of finite index which is isomorphic to a direct product of nonabelian free Ε½ groups. This completes the work of Jespers, Leal, and del RΔ±o J. Algebra 180 Ε½ . . 1996 , 22α40 , where the nilpotent groups with
The pure symmetric automorphism group of a finitely generated free group consists of those automorphisms which send each standard generator to a conjugate of itself. We prove that these groups are duality groups.