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Group inverse and group involutory Matrices

Linear and Multilinear Algebra, 1998
In this work we deal with group involutory matrices, i.e.A #=A. We give necessary and sufficient conditions to characterize these matrices in terms of different representations of the group inverse. First, we give different expressions of the group inverse of a square matrix A. In addition, the special case of integer matrices is considered.
Rafael Bru, Neśtor Thome
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Group Inverses

2023
Jianlong Chen, Xiaoxiang Zhang
openaire   +1 more source

Group inverses and Drazin inverses over Banach algebras

Integral Equations and Operator Theory, 1993
Necessary and sufficient conditions are given for the existence of group and Drazin inverses of matrices over a complex commutative unital Banach algebra. Explicit formulas are provided for the inverses. Properties of these inverses and an application to operator theory are discussed.
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INVERSION IN GROUPS

The Quarterly Journal of Mathematics, 1941
Taussky, Olga, Todd, J.
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Inverse shadowing in group actions

Dynamical Systems, 2016
ABSTRACTWe study the inverse shadowing property for actions of some finitely generated groups. A tube condition for such actions is introduced and analysed. We prove a reductive inverse shadowing theorem for actions of virtually nilpotent groups.
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Inverses of finite group systems

IEEE Transactions on Automatic Control, 1978
Inverse systems are considered for a class of discrete time-invariant systems that include the finite linear sequential circuits (LSC's). Invertibility results for finite group homomorphic sequential systems (FGHSS's), given by Willsky [8], are extended to include systems with throughput A construction is developed for an L -delay inverse of any FGHSS ...
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The evolving landscape of salivary gland tumors

Ca-A Cancer Journal for Clinicians, 2023
Conor Steuer
exaly  

Inverse homomorphisms of finite groups

Discrete Mathematics and Applications
Abstract Replacing the equality in the condition of the homomorphism of a multi-based universal algebra with inequality leads to the definition of an inverse homomorphism of a multi-based universal algebra. In this paper methods for constructing nontrivial inverse homomorphisms of finite groups are studied.
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Inverse Semi-Groups

Journal of the London Mathematical Society, 1954
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