On finite products of soluble groups

6533b851fe1ef96bd12a9701

RESEARCH PRODUCT

On finite products of soluble groups

subject

Set (abstract data type)Combinatorics General Mathematics Product (mathematics)Arithmetic Algebra over a field Mathematics

description

Let the finite groupG =AB be the product of two soluble subgroupsA andB, and letπ be a set of primes. We investigate under which conditions for the maximal normalπ-subgroups ofA, B andG the following holds:Oπ(G) ∩Oπ(G) ⊆Oπ(G).

year	journal	country	edition	language
1998-12-01	Israel Journal of Mathematics

https://doi.org/10.1007/bf02773462

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