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Up: TOME 46 (94), no. 1-2
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Abstract:
We study the deformations of a group law by factor
systems and actions satisfying certain rigidity conditions, as well as the
reversibility of this deformation process. We prove that non-simple groups
are such deformations of direct products. We find invariance properties for
simple groups and for the kernel of a rigid factor system, and conditions
for the existence of deformations with given kernel. We finally describe the
rigid actions of cyclic groups.
Key Words: rigid factor system, kernel of a rigid factor system.
2000 Mathematics Subject Classification: Primary: 20D40.
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