This paper introduces a minimal tight-binding model for unconventional p-wave magnets, clarifying their relationship with helimagnets. The model features a spin-split p-wave band structure and is used to derive an effective Hamiltonian for analytical calculations. The study evaluates tunneling conductance in p-wave magnet junctions, revealing large magnetoresistance despite the absence of net magnetization. Bulk transport properties show anisotropic spin conductivity beyond linear response. These results highlight the potential of unconventional p-wave magnets for spintronics applications. The paper discusses the classification of alternagnets by spin space groups, which describe magnetic properties without relying on relativistic spin-orbit coupling. Non-collinear and non-coplanar magnets can host itinerant spin-split electron bands with unconventional p-wave symmetry induced by isotropic sd-spin interactions. The presence of a composite Tτ symmetry protects the p-wave spin-polarization in non-centrosymmetric and non-collinear magnets. This symmetry distinguishes p-wave magnets from helimagnets, where p-wave spin-polarization can also be observed. The paper proposes a minimal lattice model for p-wave magnets, which is centrosymmetric but has broken P and PT symmetries due to magnetic ordering. The model belongs to the class of helimagnets (cycloidal magnets) but lacks the Tτ symmetry crucial for unconventional p-wave magnets. The model is shown to have a p-wave spin-polarized band structure with collinear and perpendicular spin polarization. A phenomenological model for itinerant electrons in p-wave magnets is proposed, featuring a spin-split band structure with collinear and perpendicular spin polarization. The model is shown to have a p-wave spin-polarized band structure with collinear and perpendicular spin polarization. The model is used to calculate the tunneling magnetoresistance (TMR) in p-wave magnet junctions, revealing a large TMR with a dependence on the relative orientation of the spin-spin Fermi surfaces. The TMR is achieved by rotating the p-wave magnet by π rather than π/2, unlike d-wave alternagnets. The paper also discusses the spin conductivity of p-wave magnets, showing anisotropic electric conductivity and second-order spin response. The results demonstrate that p-wave magnets can generate spin currents and filter injected spin currents from different materials. The TMR and spin currents provide effective means to detect and utilize p-wave magnets in spintronics. The paper concludes that unconventional p-wave magnets offer several useful functionalities for spintronics devices, including large TMR and spin currents. The models and results provide a foundation for further research into the transport properties and potential applications of p-wave magnets.This paper introduces a minimal tight-binding model for unconventional p-wave magnets, clarifying their relationship with helimagnets. The model features a spin-split p-wave band structure and is used to derive an effective Hamiltonian for analytical calculations. The study evaluates tunneling conductance in p-wave magnet junctions, revealing large magnetoresistance despite the absence of net magnetization. Bulk transport properties show anisotropic spin conductivity beyond linear response. These results highlight the potential of unconventional p-wave magnets for spintronics applications. The paper discusses the classification of alternagnets by spin space groups, which describe magnetic properties without relying on relativistic spin-orbit coupling. Non-collinear and non-coplanar magnets can host itinerant spin-split electron bands with unconventional p-wave symmetry induced by isotropic sd-spin interactions. The presence of a composite Tτ symmetry protects the p-wave spin-polarization in non-centrosymmetric and non-collinear magnets. This symmetry distinguishes p-wave magnets from helimagnets, where p-wave spin-polarization can also be observed. The paper proposes a minimal lattice model for p-wave magnets, which is centrosymmetric but has broken P and PT symmetries due to magnetic ordering. The model belongs to the class of helimagnets (cycloidal magnets) but lacks the Tτ symmetry crucial for unconventional p-wave magnets. The model is shown to have a p-wave spin-polarized band structure with collinear and perpendicular spin polarization. A phenomenological model for itinerant electrons in p-wave magnets is proposed, featuring a spin-split band structure with collinear and perpendicular spin polarization. The model is shown to have a p-wave spin-polarized band structure with collinear and perpendicular spin polarization. The model is used to calculate the tunneling magnetoresistance (TMR) in p-wave magnet junctions, revealing a large TMR with a dependence on the relative orientation of the spin-spin Fermi surfaces. The TMR is achieved by rotating the p-wave magnet by π rather than π/2, unlike d-wave alternagnets. The paper also discusses the spin conductivity of p-wave magnets, showing anisotropic electric conductivity and second-order spin response. The results demonstrate that p-wave magnets can generate spin currents and filter injected spin currents from different materials. The TMR and spin currents provide effective means to detect and utilize p-wave magnets in spintronics. The paper concludes that unconventional p-wave magnets offer several useful functionalities for spintronics devices, including large TMR and spin currents. The models and results provide a foundation for further research into the transport properties and potential applications of p-wave magnets.