The second largest eigenvalues of some Cayley graphs on alternating groups
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DOI: 10.1007/s10801-018-0843-1
Abstract: Let $$A_n$$An denote the alternating group of degree n with $$n\ge 3$$n≥3. The alternating group graph $$AG_n$$AGn, extended alternating group graph $$EAG_n$$EAGn and complete alternating group graph $$CAG_n$$CAGn are the Cayley graphs $$\mathrm {Cay}(A_n,T_1)$$Cay(An,T1), $$\mathrm… read more here.
Keywords: second largest; alternating group; cayley graphs; largest eigenvalues ... See more keywords
Irreducible projective representations of the alternating group which remain irreducible in characteristic 2
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DOI: 10.1016/j.aim.2020.107340
Abstract: Abstract For any finite group G it is an interesting question to ask which ordinary irreducible representations of G remain irreducible in a given characteristic p. We answer this question for p = 2 when… read more here.
Keywords: projective representations; remain irreducible; representations alternating; alternating group ... See more keywords
On the base size of the symmetric and the alternating group acting on partitions
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DOI: 10.1016/j.jalgebra.2021.08.009
Abstract: Abstract Given three positive integers n , a , b with n = a b , we determine the base size of the symmetric group and of the alternating group of degree n in their… read more here.
Keywords: size symmetric; alternating group; group; base size ... See more keywords