On the nilpotency class of a multiplicative group of a modular group algebra of a dihedral 2-group

Konovalov, Alexander

doi:10.1007/bf01058794

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2007

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“…When p = 2 and G is a 2-group of almost maximal class, in [9] and [10] the author constructed a section of V (KG) isomorphic to the wreath product of a group of order 2 and the derived subgroup of G.…”

Section: Introductionmentioning

confidence: 99%

Wreath products in modular group algebras of some finite 2-groups

Konovalov

2007

Preprint

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Let K be field of characteristic 2 and let G be a finite non-abelian 2-group with the cyclic derived subgroup G ′ , and there exists a central element z of order 2 in Z(G)\G ′ . We prove that the unit group of the group algebra KG possesses a section isomorphic to the wreath product of a group of order 2 with the derived subgroup of the group G, giving for such groups a positive answer to the question of A. Shalev.

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Section: Introductionmentioning

confidence: 99%

Wreath products in modular group algebras of some finite 2-groups

Konovalov

2007

Preprint

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Tamper-proofing basis path by using oblivious hashing on Java

2007

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Java programs are often downloaded (distributed) to unknown environments, so protect Java code from malicious modification is an important issue. This paper presents a tamper-proofing software technology on basis paths for stack-machine based languages, such as Java, by improving Oblivious Hashing . Our approach is based on a new dynamic stack-tracing approach which inserts hash instructions to monitor the top of the stack to check whether the program running has been tampered with or not. A user can choose one or more methods in a class to tamper-proof program. The protective codes are added to basic blocks at the bytecode level. We developed a new approach to protect constants and variables by alternative hashing functions. The overhead is proportional to the number of Load and Push instructions to be protected.

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On the nilpotency class of a multiplicative group of a modular group algebra of a dihedral 2-group

Cited by 2 publications

References 10 publications

Wreath products in modular group algebras of some finite 2-groups

Wreath products in modular group algebras of some finite 2-groups

Tamper-proofing basis path by using oblivious hashing on Java

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