It is obtained the description of normal closure of non-subnormal tightly embedded 2-subgroup A, if A is noncyclic and non-elementary group. It is determined possible parameters of strongly regular graphs, in which neighborhoods are pseudo-geometric for qeneralized quadrangles with quasi-classical parameters. It is proved that a connected graph, in which neighborhoods of vertices are strongly regular with $k=2\mu$, is either strongly regular or a Taylor graph.
Main publications:
Makhnev A. A., “Chastichnye geometrii i ikh rasshireniya”, Uspekhi mat. nauk, 54:5 (1999), 25–76
Makhnev A. A., “Psevdogeometricheskie grafy chastichnykh geometrii $pG_2(4,t)$”, Diskret. matem., 12:1 (2000), 113–134
Makhnev A. A., “O grafakh, okrestnosti vershin kotorykh silno regulyarny s $k=2\mu$”, Matem. sbornik, 191:7 (2000), 89–104
Kabanov V. V., Makhnev A. A., Paduchikh D. V., “O grafakh bez koron s regulyarnymi $\mu$-podgrafami”, Matem. zametki, 74 (2003), 396–406
Makhnev A. A., “O silnoi regulyarnosti nekotorykh reberno regulyarnykh grafov”, Izvestiya RAN, ser. matem., 68 (2004), 159–182
